# What does it mean when it says the greatest common factor?

## What does it mean when it says the greatest common factor?

The greatest common factor (GCF) is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor (GCD) or highest common factor (HCF). A factor is a smaller number that can divide evenly into that number.

What is greatest common value?

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

### What’s the GCF for 24 and 40?

8
Answer: GCF of 24 and 40 is 8.

What is the GCF of 12 and 18?

6
Example 1: 6 is the greatest common factor of 12 and 18.

## What is the GCF of 12 and 30?

Answer: GCF of 12 and 30 is 6.

What is the GCF of 2 and 9?

1
The GCF of 2 and 9 is 1. To calculate the greatest common factor of 2 and 9, we need to factor each number (factors of 2 = 1, 2; factors of 9 = 1, 3, 9) and choose the greatest factor that exactly divides both 2 and 9, i.e., 1.

### What is the GCF of 7 and 15?

Answer: GCF of 7 and 15 is 1.

What is the GCF of 18 and 27?

9
GCF of 18 and 27 by Prime Factorization As visible, 18 and 27 have common prime factors. Hence, the GCF of 18 and 27 is 3 × 3 = 9.

## What is the GCF of 18 and 24?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

What is the GCF of 20 30?

10
GCF of 20 and 30 by Listing Common Factors There are 4 common factors of 20 and 30, that are 1, 2, 10, and 5. Therefore, the greatest common factor of 20 and 30 is 10.

### What is the GCF of 7 28?

GCF of 7 and 28 by Listing Common Factors There are 2 common factors of 7 and 28, that are 1 and 7. Therefore, the greatest common factor of 7 and 28 is 7.

What is the HCF of 2 9?

What is the HCF of 2 and 9? The HCF of 2 and 9 is 1. To calculate the HCF of 2 and 9, we need to factor each number (factors of 2 = 1, 2; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 2 and 9, i.e., 1.

## When is the greatest common factor a common factor?

It is a common factor when it is a factor of two (or more) numbers. The “Greatest Common Factor” is the largest of the common factors (of two or more numbers)

Which is the greatest factor of two numbers?

The greatest number that is a factor of two (or more) other numbers. When we find all the factors of two or more numbers, and some factors are the same (“common”), then the largest of those common factors is the Greatest Common Factor. Abbreviated “GCF”. Also called “Highest Common Factor”.

### What does the GCF stand for in arithmetic?

There isn’t much of a difference. GCF, which stands for “Greatest common factor”, is the largest value of the values you have, that multiplied by whole number is able to “step onto both”. For example, the GCF of 27 and 30 is 3, since if you add 3 repeatedly, it will equal 27 after it is added 9 times and equal 30 after adding 3 10 times.

Which is the greatest factor in the world?

The highest number that divides exactly into two or more numbers. It is the “greatest” thing for simplifying fractions! Let’s start with an Example So what is a “Factor”? Factors are numbers we can multiply together to get another number: Factors of 12 are 1, 2, 3, 4, 6 and 12