GCF of 42 and 72

What is the GCF of 42 and 72?

GCF of 42 and 72

is 6

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Greatest Common Factor

What is the Greatest Common Factor of 42 and 72? 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 42 and 72 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 42.
    2, 3, 7
  2. Find the prime factors of the second number 72.
    2, 2, 2, 3, 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 42.
    1, 2, 3, 6, 7, 14, 21, 42
  2. Find the factors of the second number 72.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 42 and 72 is 6.

GCD (Greatest Common Divisor) of 42 and 72 is 6.

HCF (Highest Common Factor) of 42 and 72 is 6.

Number GCF LCM
42 & 67 1 2814
42 & 68 2 1428
42 & 69 3 966
42 & 70 14 210
42 & 71 1 2982
42 & 72 6 504
42 & 73 1 3066
42 & 74 2 1554
42 & 75 3 1050
42 & 76 2 1596
42 & 77 7 462
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