What is the Greatest Common Factor of 86584 and 86588?

Greatest common factor (GCF) of 86584 and 86588 is 4.

GCF(86584,86588) = 4

We will now calculate the prime factors of 86584 and 86588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86584 and 86588.

How to find the GCF of 86584 and 86588?

We will first find the prime factorization of 86584 and 86588. After we will calculate the factors of 86584 and 86588 and find the biggest common factor number .

Step-1: Prime Factorization of 86584

Prime factors of 86584 are 2, 79, 137. Prime factorization of 86584 in exponential form is:

86584 = 2³ × 79¹ × 137¹

Step-2: Prime Factorization of 86588

Prime factors of 86588 are 2, 21647. Prime factorization of 86588 in exponential form is:

86588 = 2² × 21647¹

Step-3: Factors of 86584

List of positive integer factors of 86584 that divides 86584 without a remainder.

1, 2, 4, 8, 79, 137, 158, 274, 316, 548, 632, 1096, 10823, 21646, 43292

Step-4: Factors of 86588

List of positive integer factors of 86588 that divides 86584 without a remainder.

1, 2, 4, 21647, 43294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86584 and 86588. The biggest common factor number is the GCF number.
So the greatest common factor 86584 and 86588 is 4.

Also check out the Least Common Multiple of 86584 and 86588