What is the Greatest Common Factor of 86565 and 86577?

Greatest common factor (GCF) of 86565 and 86577 is 3.

GCF(86565,86577) = 3

We will now calculate the prime factors of 86565 and 86577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86565 and 86577.

How to find the GCF of 86565 and 86577?

We will first find the prime factorization of 86565 and 86577. After we will calculate the factors of 86565 and 86577 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 86577

Prime factors of 86577 are 3, 28859. Prime factorization of 86577 in exponential form is:

86577 = 3¹ × 28859¹

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 86577

List of positive integer factors of 86577 that divides 86565 without a remainder.

1, 3, 28859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86565 and 86577. The biggest common factor number is the GCF number.
So the greatest common factor 86565 and 86577 is 3.

Also check out the Least Common Multiple of 86565 and 86577