What is the Greatest Common Factor of 86552 and 86568?

Greatest common factor (GCF) of 86552 and 86568 is 8.

GCF(86552,86568) = 8

We will now calculate the prime factors of 86552 and 86568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86552 and 86568.

How to find the GCF of 86552 and 86568?

We will first find the prime factorization of 86552 and 86568. After we will calculate the factors of 86552 and 86568 and find the biggest common factor number .

Step-1: Prime Factorization of 86552

Prime factors of 86552 are 2, 31, 349. Prime factorization of 86552 in exponential form is:

86552 = 2³ × 31¹ × 349¹

Step-2: Prime Factorization of 86568

Prime factors of 86568 are 2, 3, 3607. Prime factorization of 86568 in exponential form is:

86568 = 2³ × 3¹ × 3607¹

Step-3: Factors of 86552

List of positive integer factors of 86552 that divides 86552 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 349, 698, 1396, 2792, 10819, 21638, 43276

Step-4: Factors of 86568

List of positive integer factors of 86568 that divides 86552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3607, 7214, 10821, 14428, 21642, 28856, 43284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86552 and 86568. The biggest common factor number is the GCF number.
So the greatest common factor 86552 and 86568 is 8.

Also check out the Least Common Multiple of 86552 and 86568