GCF of 5616 and 996

What is the GCF of 5616 and 996?

GCF of 5616 and 996

is 12

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Greatest Common Factor

What is the Greatest Common Factor of 5616 and 996? 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 5616 and 996 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 5616.
    2, 2, 2, 2, 3, 3, 3, 13
  2. Find the prime factors of the second number 996.
    2, 2, 3, 83
  3. Multiply of all the common prime factors is the GCF value. Which is,
    12

Factors Method:

  1. Find the factors of the first number 5616.
    1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616
  2. Find the factors of the second number 996.
    1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
  3. The biggest common factor number is the GCF value. Which is,
    12

GCF (Greatest Common Factor) of 5616 and 996 is 12.

GCD (Greatest Common Divisor) of 5616 and 996 is 12.

HCF (Highest Common Factor) of 5616 and 996 is 12.

Number GCF LCM
5616 & 991 1 5565456
5616 & 992 16 348192
5616 & 993 3 1858896
5616 & 994 2 2791152
5616 & 995 1 5587920
5616 & 996 12 466128
5616 & 997 1 5599152
5616 & 998 2 2802384
5616 & 999 27 207792
5616 & 1000 8 702000
5616 & 1001 13 432432
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