GCF of 84 and 1004

What is the GCF of 84 and 1004?


GCF of 84 and 1004

is 4

Formula How to

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What is the Greatest Common Factor of 84 and 1004? 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 84 and 1004 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 84.
    2, 2, 3, 7
  2. Find the prime factors of the second number 1004.
    2, 2, 251
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 84.
    1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
  2. Find the factors of the second number 1004.
    1, 2, 4, 251, 502, 1004
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 84 and 1004 is 4.

GCD (Greatest Common Divisor) of 84 and 1004 is 4.

HCF (Highest Common Factor) of 84 and 1004 is 4.

Number GCF LCM
84 & 999 3 27972
84 & 1000 4 21000
84 & 1001 7 12012
84 & 1002 6 14028
84 & 1003 1 84252
84 & 1004 4 21084
84 & 1005 3 28140
84 & 1006 2 42252
84 & 1007 1 84588
84 & 1008 84 1008
84 & 1009 1 84756