GCF of 9996 and 5625

What is the GCF of 9996 and 5625?

GCF of 9996 and 5625

is 3

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 9996 and 5625? 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 9996 and 5625 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 9996.
    2, 2, 3, 7, 7, 17
  2. Find the prime factors of the second number 5625.
    3, 3, 5, 5, 5, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 9996.
    1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
  2. Find the factors of the second number 5625.
    1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 9996 and 5625 is 3.

GCD (Greatest Common Divisor) of 9996 and 5625 is 3.

HCF (Highest Common Factor) of 9996 and 5625 is 3.

Number GCF LCM
9996 & 5620 4 14044380
9996 & 5621 7 8026788
9996 & 5622 6 9366252
9996 & 5623 1 56207508
9996 & 5624 4 14054376
9996 & 5625 3 18742500
9996 & 5626 2 28118748
9996 & 5627 17 3308676
9996 & 5628 84 669732
9996 & 5629 1 56267484
9996 & 5630 2 28138740
Calculations