What is the Greatest Common Factor of 86574 and 86586?

Greatest common factor (GCF) of 86574 and 86586 is 6.

GCF(86574,86586) = 6

We will now calculate the prime factors of 86574 and 86586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86574 and 86586.

How to find the GCF of 86574 and 86586?

We will first find the prime factorization of 86574 and 86586. After we will calculate the factors of 86574 and 86586 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 86586

Prime factors of 86586 are 2, 3, 14431. Prime factorization of 86586 in exponential form is:

86586 = 2¹ × 3¹ × 14431¹

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 86586

List of positive integer factors of 86586 that divides 86574 without a remainder.

1, 2, 3, 6, 14431, 28862, 43293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86574 and 86586. The biggest common factor number is the GCF number.
So the greatest common factor 86574 and 86586 is 6.

Also check out the Least Common Multiple of 86574 and 86586