What is the Greatest Common Factor of 86564 and 86584?

Greatest common factor (GCF) of 86564 and 86584 is 4.

GCF(86564,86584) = 4

We will now calculate the prime factors of 86564 and 86584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86564 and 86584.

How to find the GCF of 86564 and 86584?

We will first find the prime factorization of 86564 and 86584. After we will calculate the factors of 86564 and 86584 and find the biggest common factor number .

Step-1: Prime Factorization of 86564

Prime factors of 86564 are 2, 17, 19, 67. Prime factorization of 86564 in exponential form is:

86564 = 2² × 17¹ × 19¹ × 67¹

Step-2: 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-3: Factors of 86564

List of positive integer factors of 86564 that divides 86564 without a remainder.

1, 2, 4, 17, 19, 34, 38, 67, 68, 76, 134, 268, 323, 646, 1139, 1273, 1292, 2278, 2546, 4556, 5092, 21641, 43282

Step-4: Factors of 86584

List of positive integer factors of 86584 that divides 86564 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86564 and 86584. The biggest common factor number is the GCF number.
So the greatest common factor 86564 and 86584 is 4.

Also check out the Least Common Multiple of 86564 and 86584