GCF of 42 and 90

What is the GCF of 42 and 90?

GCF of 42 and 90

is 6

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Greatest Common Factor

What is the Greatest Common Factor of 42 and 90? 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 90 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 90.
    2, 3, 3, 5
  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 90.
    1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 42 and 90 is 6.

GCD (Greatest Common Divisor) of 42 and 90 is 6.

HCF (Highest Common Factor) of 42 and 90 is 6.

Number GCF LCM
42 & 85 1 3570
42 & 86 2 1806
42 & 87 3 1218
42 & 88 2 1848
42 & 89 1 3738
42 & 90 6 630
42 & 91 7 546
42 & 92 2 1932
42 & 93 3 1302
42 & 94 2 1974
42 & 95 1 3990
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