GCF of 42 and 996

What is the GCF of 42 and 996?

GCF of 42 and 996

is 6

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 42 and 996? 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 996 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 996.
    2, 2, 3, 83
  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 996.
    1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 42 and 996 is 6.

GCD (Greatest Common Divisor) of 42 and 996 is 6.

HCF (Highest Common Factor) of 42 and 996 is 6.

Number GCF LCM
42 & 991 1 41622
42 & 992 2 20832
42 & 993 3 13902
42 & 994 14 2982
42 & 995 1 41790
42 & 996 6 6972
42 & 997 1 41874
42 & 998 2 20958
42 & 999 3 13986
42 & 1000 2 21000
42 & 1001 7 6006
Calculations