GCF of 996 and 725

What is the GCF of 996 and 725?


GCF of 996 and 725

is 1

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What is the Greatest Common Factor of 996 and 725? 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 996 and 725 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 996.
    2, 2, 3, 83
  2. Find the prime factors of the second number 725.
    5, 5, 29
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 996.
    1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
  2. Find the factors of the second number 725.
    1, 5, 25, 29, 145, 725
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 996 and 725 is 1.

GCD (Greatest Common Divisor) of 996 and 725 is 1.

HCF (Highest Common Factor) of 996 and 725 is 1.

Number GCF LCM
996 & 720 12 59760
996 & 721 1 718116
996 & 722 2 359556
996 & 723 3 240036
996 & 724 4 180276
996 & 725 1 722100
996 & 726 6 120516
996 & 727 1 724092
996 & 728 4 181272
996 & 729 3 242028
996 & 730 2 363540