# How do you calculate GCF?

## How do you calculate GCF?

Here’s how to find the GCF of a set of numbers using prime factorization:

1. List the prime factors of each number.
2. Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
3. Multiply all the circled numbers. The result is the GCF.

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 is the GCF of 18 and 24?

6
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 18 and 27?

9
Answer: GCF of 18 and 27 is 9.

What is GCF and LCM?

The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers. …

What’s the GCF of 3?

The GCF of 3 and 12 is 3. To calculate the GCF (Greatest Common Factor) of 3 and 12, we need to factor each number (factors of 3 = 1, 3; factors of 12 = 1, 2, 3, 4, 6, 12) and choose the greatest factor that exactly divides both 3 and 12, i.e., 3.

## How do you find the greatest common factor of 24?

To calculate the GCF (Greatest Common Factor) of 24 and 36, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest factor that exactly divides both 24 and 36, i.e., 12.

How do you find the greatest common factor of 18?

1. 18=2×3×3.
2. 24=2×2×2×3.
3. 18=2×3×3.
4. 24=2×2×2×3.
5. GCF=2×3=6.

What’s the GCF of 21?

The GCF of 21 and 30 is 3. To calculate the greatest common factor of 21 and 30, we need to factor each number (factors of 21 = 1, 3, 7, 21; factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and choose the greatest factor that exactly divides both 21 and 30, i.e., 3.

### What is the GCF of 15 and 23?

As you can see when you list out the factors of each number, 1 is the greatest number that 15 and 23 divides into.