GCF of 988 and 688

What is the GCF of 988 and 688?


GCF of 988 and 688

is 4

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What is the Greatest Common Factor of 988 and 688? 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 988 and 688 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 988.
    2, 2, 13, 19
  2. Find the prime factors of the second number 688.
    2, 2, 2, 2, 43
  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 988.
    1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
  2. Find the factors of the second number 688.
    1, 2, 4, 8, 16, 43, 86, 172, 344, 688
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 988 and 688 is 4.

GCD (Greatest Common Divisor) of 988 and 688 is 4.

HCF (Highest Common Factor) of 988 and 688 is 4.

Number GCF LCM
988 & 683 1 674804
988 & 684 76 8892
988 & 685 1 676780
988 & 686 2 338884
988 & 687 1 678756
988 & 688 4 169936
988 & 689 13 52364
988 & 690 2 340860
988 & 691 1 682708
988 & 692 4 170924
988 & 693 1 684684