GCF of 54 and 24

What is the GCF of 54 and 24?

GCF of 54 and 24

is 6

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Greatest Common Factor

What is the Greatest Common Factor of 54 and 24? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 54 and 24 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 54.
    2, 3, 3, 3
  2. Find the prime factors of the second number 24.
    2, 2, 2, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    6

Factors Method:

  1. Find the factors of the first number 54.
    1, 2, 3, 6, 9, 18, 27, 54
  2. Find the factors of the second number 24.
    1, 2, 3, 4, 6, 8, 12, 24
  3. The biggest common factor number is the GCF value. Which is,
    6

Number GCF LCM
54 & 19 1 1026
54 & 20 2 540
54 & 21 3 378
54 & 22 2 594
54 & 23 1 1242
54 & 24 6 216
54 & 25 1 1350
54 & 26 2 702
54 & 27 27 54
54 & 28 2 756
54 & 29 1 1566

GCF (Greatest Common Factor) of 54 and 24 is 6.

GCD (Greatest Common Divisor) of 54 and 24 is 6.

HCF (Highest Common Factor) of 54 and 24 is 6.
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