What is the Greatest Common Factor of 86584 and 86594?

Greatest common factor (GCF) of 86584 and 86594 is 2.

GCF(86584,86594) = 2

We will now calculate the prime factors of 86584 and 86594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86584 and 86594.

How to find the GCF of 86584 and 86594?

We will first find the prime factorization of 86584 and 86594. After we will calculate the factors of 86584 and 86594 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 86594

Prime factors of 86594 are 2, 29, 1493. Prime factorization of 86594 in exponential form is:

86594 = 2¹ × 29¹ × 1493¹

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 86594

List of positive integer factors of 86594 that divides 86584 without a remainder.

1, 2, 29, 58, 1493, 2986, 43297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86584 and 86594. The biggest common factor number is the GCF number.
So the greatest common factor 86584 and 86594 is 2.

Also check out the Least Common Multiple of 86584 and 86594