GCF of 990 and 658

What is the GCF of 990 and 658?


GCF of 990 and 658

is 2

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What is the Greatest Common Factor of 990 and 658? 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 990 and 658 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 990.
    2, 3, 3, 5, 11
  2. Find the prime factors of the second number 658.
    2, 7, 47
  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 990.
    1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
  2. Find the factors of the second number 658.
    1, 2, 7, 14, 47, 94, 329, 658
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 990 and 658 is 2.

GCD (Greatest Common Divisor) of 990 and 658 is 2.

HCF (Highest Common Factor) of 990 and 658 is 2.

Number GCF LCM
990 & 653 1 646470
990 & 654 6 107910
990 & 655 5 129690
990 & 656 2 324720
990 & 657 9 72270
990 & 658 2 325710
990 & 659 1 652410
990 & 660 330 1980
990 & 661 1 654390
990 & 662 2 327690
990 & 663 3 218790