What is the Greatest Common Factor of 86960 and 86975?

Greatest common factor (GCF) of 86960 and 86975 is 5.

GCF(86960,86975) = 5

We will now calculate the prime factors of 86960 and 86975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86960 and 86975.

How to find the GCF of 86960 and 86975?

We will first find the prime factorization of 86960 and 86975. After we will calculate the factors of 86960 and 86975 and find the biggest common factor number .

Step-1: Prime Factorization of 86960

Prime factors of 86960 are 2, 5, 1087. Prime factorization of 86960 in exponential form is:

86960 = 2⁴ × 5¹ × 1087¹

Step-2: Prime Factorization of 86975

Prime factors of 86975 are 5, 7, 71. Prime factorization of 86975 in exponential form is:

86975 = 5² × 7² × 71¹

Step-3: Factors of 86960

List of positive integer factors of 86960 that divides 86960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1087, 2174, 4348, 5435, 8696, 10870, 17392, 21740, 43480

Step-4: Factors of 86975

List of positive integer factors of 86975 that divides 86960 without a remainder.

1, 5, 7, 25, 35, 49, 71, 175, 245, 355, 497, 1225, 1775, 2485, 3479, 12425, 17395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86960 and 86975. The biggest common factor number is the GCF number.
So the greatest common factor 86960 and 86975 is 5.

Also check out the Least Common Multiple of 86960 and 86975