What is the Greatest Common Factor of 88584 and 88588?

Greatest common factor (GCF) of 88584 and 88588 is 4.

GCF(88584,88588) = 4

We will now calculate the prime factors of 88584 and 88588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88584 and 88588.

How to find the GCF of 88584 and 88588?

We will first find the prime factorization of 88584 and 88588. After we will calculate the factors of 88584 and 88588 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 88588

Prime factors of 88588 are 2, 22147. Prime factorization of 88588 in exponential form is:

88588 = 2² × 22147¹

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 88588

List of positive integer factors of 88588 that divides 88584 without a remainder.

1, 2, 4, 22147, 44294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88584 and 88588. The biggest common factor number is the GCF number.
So the greatest common factor 88584 and 88588 is 4.

Also check out the Least Common Multiple of 88584 and 88588