What is the Greatest Common Factor of 86575 and 86595?

Greatest common factor (GCF) of 86575 and 86595 is 5.

GCF(86575,86595) = 5

We will now calculate the prime factors of 86575 and 86595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86575 and 86595.

How to find the GCF of 86575 and 86595?

We will first find the prime factorization of 86575 and 86595. After we will calculate the factors of 86575 and 86595 and find the biggest common factor number .

Step-1: Prime Factorization of 86575

Prime factors of 86575 are 5, 3463. Prime factorization of 86575 in exponential form is:

86575 = 5² × 3463¹

Step-2: Prime Factorization of 86595

Prime factors of 86595 are 3, 5, 23, 251. Prime factorization of 86595 in exponential form is:

86595 = 3¹ × 5¹ × 23¹ × 251¹

Step-3: Factors of 86575

List of positive integer factors of 86575 that divides 86575 without a remainder.

1, 5, 25, 3463, 17315

Step-4: Factors of 86595

List of positive integer factors of 86595 that divides 86575 without a remainder.

1, 3, 5, 15, 23, 69, 115, 251, 345, 753, 1255, 3765, 5773, 17319, 28865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86575 and 86595. The biggest common factor number is the GCF number.
So the greatest common factor 86575 and 86595 is 5.

Also check out the Least Common Multiple of 86575 and 86595