What is the Greatest Common Factor of 88584 and 88599?

Greatest common factor (GCF) of 88584 and 88599 is 3.

GCF(88584,88599) = 3

We will now calculate the prime factors of 88584 and 88599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88584 and 88599.

How to find the GCF of 88584 and 88599?

We will first find the prime factorization of 88584 and 88599. After we will calculate the factors of 88584 and 88599 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 88599

Prime factors of 88599 are 3, 7, 4219. Prime factorization of 88599 in exponential form is:

88599 = 3¹ × 7¹ × 4219¹

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 88599

List of positive integer factors of 88599 that divides 88584 without a remainder.

1, 3, 7, 21, 4219, 12657, 29533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88584 and 88599. The biggest common factor number is the GCF number.
So the greatest common factor 88584 and 88599 is 3.

Also check out the Least Common Multiple of 88584 and 88599