What is the Greatest Common Factor of 88584 and 88596?

Greatest common factor (GCF) of 88584 and 88596 is 12.

GCF(88584,88596) = 12

We will now calculate the prime factors of 88584 and 88596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88584 and 88596.

How to find the GCF of 88584 and 88596?

We will first find the prime factorization of 88584 and 88596. After we will calculate the factors of 88584 and 88596 and find the biggest common factor number .

Step-1: Prime Factorization of 88584

Prime factors of 88584 are 2, 3, 3691. Prime factorization of 88584 in exponential form is:

88584 = 2³ × 3¹ × 3691¹

Step-2: Prime Factorization of 88596

Prime factors of 88596 are 2, 3, 23, 107. Prime factorization of 88596 in exponential form is:

88596 = 2² × 3² × 23¹ × 107¹

Step-3: Factors of 88584

List of positive integer factors of 88584 that divides 88584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3691, 7382, 11073, 14764, 22146, 29528, 44292

Step-4: Factors of 88596

List of positive integer factors of 88596 that divides 88584 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 107, 138, 207, 214, 276, 321, 414, 428, 642, 828, 963, 1284, 1926, 2461, 3852, 4922, 7383, 9844, 14766, 22149, 29532, 44298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88584 and 88596. The biggest common factor number is the GCF number.
So the greatest common factor 88584 and 88596 is 12.

Also check out the Least Common Multiple of 88584 and 88596