GCF of 9996 and 3640

What is the GCF of 9996 and 3640?

GCF of 9996 and 3640

is 28

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Greatest Common Factor

What is the Greatest Common Factor of 9996 and 3640? 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 3640 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 3640.
    2, 2, 2, 5, 7, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    28

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 3640.
    1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
  3. The biggest common factor number is the GCF value. Which is,
    28

GCF (Greatest Common Factor) of 9996 and 3640 is 28.

GCD (Greatest Common Divisor) of 9996 and 3640 is 28.

HCF (Highest Common Factor) of 9996 and 3640 is 28.

Number GCF LCM
9996 & 3635 1 36335460
9996 & 3636 12 3028788
9996 & 3637 1 36355452
9996 & 3638 34 1069572
9996 & 3639 3 12125148
9996 & 3640 28 1299480
9996 & 3641 1 36395436
9996 & 3642 6 6067572
9996 & 3643 1 36415428
9996 & 3644 4 9106356
9996 & 3645 3 12145140
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