GCF of 1002 and 892

What is the GCF of 1002 and 892?


GCF of 1002 and 892

is 2

Formula How to

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What is the Greatest Common Factor of 1002 and 892? 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 1002 and 892 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1002.
    2, 3, 167
  2. Find the prime factors of the second number 892.
    2, 2, 223
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  2. Find the factors of the second number 892.
    1, 2, 4, 223, 446, 892
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1002 and 892 is 2.

GCD (Greatest Common Divisor) of 1002 and 892 is 2.

HCF (Highest Common Factor) of 1002 and 892 is 2.

Number GCF LCM
1002 & 887 1 888774
1002 & 888 6 148296
1002 & 889 1 890778
1002 & 890 2 445890
1002 & 891 3 297594
1002 & 892 2 446892
1002 & 893 1 894786
1002 & 894 6 149298
1002 & 895 1 896790
1002 & 896 2 448896
1002 & 897 3 299598