What is the Greatest Common Factor of 86565 and 86574?

Greatest common factor (GCF) of 86565 and 86574 is 3.

GCF(86565,86574) = 3

We will now calculate the prime factors of 86565 and 86574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86565 and 86574.

How to find the GCF of 86565 and 86574?

We will first find the prime factorization of 86565 and 86574. After we will calculate the factors of 86565 and 86574 and find the biggest common factor number .

Step-1: Prime Factorization of 86565

Prime factors of 86565 are 3, 5, 29, 199. Prime factorization of 86565 in exponential form is:

86565 = 3¹ × 5¹ × 29¹ × 199¹

Step-2: 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-3: Factors of 86565

List of positive integer factors of 86565 that divides 86565 without a remainder.

1, 3, 5, 15, 29, 87, 145, 199, 435, 597, 995, 2985, 5771, 17313, 28855

Step-4: Factors of 86574

List of positive integer factors of 86574 that divides 86565 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86565 and 86574. The biggest common factor number is the GCF number.
So the greatest common factor 86565 and 86574 is 3.

Also check out the Least Common Multiple of 86565 and 86574