GCF of 1002 and 836

What is the GCF of 1002 and 836?


GCF of 1002 and 836

is 2

Formula How to

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What is the Greatest Common Factor of 1002 and 836? 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 836 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 836.
    2, 2, 11, 19
  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 836.
    1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1002 and 836 is 2.

GCD (Greatest Common Divisor) of 1002 and 836 is 2.

HCF (Highest Common Factor) of 1002 and 836 is 2.

Number GCF LCM
1002 & 831 3 277554
1002 & 832 2 416832
1002 & 833 1 834666
1002 & 834 6 139278
1002 & 835 167 5010
1002 & 836 2 418836
1002 & 837 3 279558
1002 & 838 2 419838
1002 & 839 1 840678
1002 & 840 6 140280
1002 & 841 1 842682