Question

What is the Greatest Common Factor of 24 and 54? ​

Answer 1

Greatest common factor (GCF) of 24 and 54 is 6. We will now calculate the prime factors of 24 and 54, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24 and 54.

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Answer 2

Answer:

The Greatest Common Factor of 24 and 54 is 6

Step-by-step explanation:

Given two numbers are 24 and 54.

Here we want to find Greatest Common Factor of these two numbers.

By some examples we can understand this concept more easily.

Example-1:

We are taking two numbers 6 and 9

By prime factorisation,

$6 = 2 \times 3 \\ 9 = 3 \times 3$

So Greatest Common Factor of 6 and 9 is 3.

Example -2:

We are taking three numbers 8,10 and 12.

By prime factorisation,

$8 = 2 \times 2 \times 2 \\ 10 = 2 \times 5 \\ 12 = 2 \times 2 \times 3$

Here Greatest Common Factor of 8,10 and 12 is 2.

So of 8,10 and 12 is 2.

In this question we have two digits 24 and 54.

By prime factorisation,

$24 = 2 \times 2 \times 2 \times 3 \\ 54 = 2 \times 3 \times 3 \times 3$

Here Greatest Common Factor of 24 and 54 is (2×3) = 6

Other name of Greatest Common Factor is HCF.

Know more about HCF,

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