GCF of 986 and 688

What is the GCF of 986 and 688?


GCF of 986 and 688

is 2

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What is the Greatest Common Factor of 986 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 986 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 986.
    2, 17, 29
  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,
    2

Factors Method:

  1. Find the factors of the first number 986.
    1, 2, 17, 29, 34, 58, 493, 986
  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,
    2

GCF (Greatest Common Factor) of 986 and 688 is 2.

GCD (Greatest Common Divisor) of 986 and 688 is 2.

HCF (Highest Common Factor) of 986 and 688 is 2.

Number GCF LCM
986 & 683 1 673438
986 & 684 2 337212
986 & 685 1 675410
986 & 686 2 338198
986 & 687 1 677382
986 & 688 2 339184
986 & 689 1 679354
986 & 690 2 340170
986 & 691 1 681326
986 & 692 2 341156
986 & 693 1 683298