What is the Greatest Common Factor of 79581 and 79596?

Greatest common factor (GCF) of 79581 and 79596 is 3.

GCF(79581,79596) = 3

We will now calculate the prime factors of 79581 and 79596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79581 and 79596.

How to find the GCF of 79581 and 79596?

We will first find the prime factorization of 79581 and 79596. After we will calculate the factors of 79581 and 79596 and find the biggest common factor number .

Step-1: Prime Factorization of 79581

Prime factors of 79581 are 3, 41, 647. Prime factorization of 79581 in exponential form is:

79581 = 3¹ × 41¹ × 647¹

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 79581

List of positive integer factors of 79581 that divides 79581 without a remainder.

1, 3, 41, 123, 647, 1941, 26527

Step-4: Factors of 79596

List of positive integer factors of 79596 that divides 79581 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 79581 and 79596. The biggest common factor number is the GCF number.
So the greatest common factor 79581 and 79596 is 3.

Also check out the Least Common Multiple of 79581 and 79596