What is the Greatest Common Factor of 86574 and 86584?

Greatest common factor (GCF) of 86574 and 86584 is 2.

GCF(86574,86584) = 2

We will now calculate the prime factors of 86574 and 86584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86574 and 86584.

How to find the GCF of 86574 and 86584?

We will first find the prime factorization of 86574 and 86584. After we will calculate the factors of 86574 and 86584 and find the biggest common factor number .

Step-1: Prime Factorization of 86574

Prime factors of 86574 are 2, 3, 47, 307. Prime factorization of 86574 in exponential form is:

86574 = 2¹ × 3¹ × 47¹ × 307¹

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 86574

List of positive integer factors of 86574 that divides 86574 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 307, 614, 921, 1842, 14429, 28858, 43287

Step-4: Factors of 86584

List of positive integer factors of 86584 that divides 86574 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 86574 and 86584. The biggest common factor number is the GCF number.
So the greatest common factor 86574 and 86584 is 2.

Also check out the Least Common Multiple of 86574 and 86584