GCF of 989 and 688

What is the GCF of 989 and 688?


GCF of 989 and 688

is 43

Formula How to

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What is the Greatest Common Factor of 989 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 989 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 989.
    23, 43
  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,
    43

Factors Method:

  1. Find the factors of the first number 989.
    1, 23, 43, 989
  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,
    43

GCF (Greatest Common Factor) of 989 and 688 is 43.

GCD (Greatest Common Divisor) of 989 and 688 is 43.

HCF (Highest Common Factor) of 989 and 688 is 43.

Number GCF LCM
989 & 683 1 675487
989 & 684 1 676476
989 & 685 1 677465
989 & 686 1 678454
989 & 687 1 679443
989 & 688 43 15824
989 & 689 1 681421
989 & 690 23 29670
989 & 691 1 683399
989 & 692 1 684388
989 & 693 1 685377