What is the Greatest Common Factor of 79584 and 79596?

Greatest common factor (GCF) of 79584 and 79596 is 12.

GCF(79584,79596) = 12

We will now calculate the prime factors of 79584 and 79596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79596.

How to find the GCF of 79584 and 79596?

We will first find the prime factorization of 79584 and 79596. After we will calculate the factors of 79584 and 79596 and find the biggest common factor number .

Step-1: Prime Factorization of 79584

Prime factors of 79584 are 2, 3, 829. Prime factorization of 79584 in exponential form is:

79584 = 2⁵ × 3¹ × 829¹

Step-2: Prime Factorization of 79596

Prime factors of 79596 are 2, 3, 11, 67. Prime factorization of 79596 in exponential form is:

79596 = 2² × 3³ × 11¹ × 67¹

Step-3: Factors of 79584

List of positive integer factors of 79584 that divides 79584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896, 26528, 39792

Step-4: Factors of 79596

List of positive integer factors of 79596 that divides 79584 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 67, 99, 108, 132, 134, 198, 201, 268, 297, 396, 402, 594, 603, 737, 804, 1188, 1206, 1474, 1809, 2211, 2412, 2948, 3618, 4422, 6633, 7236, 8844, 13266, 19899, 26532, 39798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79596. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79596 is 12.

Also check out the Least Common Multiple of 79584 and 79596