What is the Greatest Common Factor of 86860 and 86875?

Greatest common factor (GCF) of 86860 and 86875 is 5.

GCF(86860,86875) = 5

We will now calculate the prime factors of 86860 and 86875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86860 and 86875.

How to find the GCF of 86860 and 86875?

We will first find the prime factorization of 86860 and 86875. After we will calculate the factors of 86860 and 86875 and find the biggest common factor number .

Step-1: Prime Factorization of 86860

Prime factors of 86860 are 2, 5, 43, 101. Prime factorization of 86860 in exponential form is:

86860 = 2² × 5¹ × 43¹ × 101¹

Step-2: Prime Factorization of 86875

Prime factors of 86875 are 5, 139. Prime factorization of 86875 in exponential form is:

86875 = 5⁴ × 139¹

Step-3: Factors of 86860

List of positive integer factors of 86860 that divides 86860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 101, 172, 202, 215, 404, 430, 505, 860, 1010, 2020, 4343, 8686, 17372, 21715, 43430

Step-4: Factors of 86875

List of positive integer factors of 86875 that divides 86860 without a remainder.

1, 5, 25, 125, 139, 625, 695, 3475, 17375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86860 and 86875. The biggest common factor number is the GCF number.
So the greatest common factor 86860 and 86875 is 5.

Also check out the Least Common Multiple of 86860 and 86875