What is the Greatest Common Factor of 60865 and 60875?

Greatest common factor (GCF) of 60865 and 60875 is 5.

GCF(60865,60875) = 5

We will now calculate the prime factors of 60865 and 60875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60865 and 60875.

How to find the GCF of 60865 and 60875?

We will first find the prime factorization of 60865 and 60875. After we will calculate the factors of 60865 and 60875 and find the biggest common factor number .

Step-1: Prime Factorization of 60865

Prime factors of 60865 are 5, 7, 37, 47. Prime factorization of 60865 in exponential form is:

60865 = 5¹ × 7¹ × 37¹ × 47¹

Step-2: Prime Factorization of 60875

Prime factors of 60875 are 5, 487. Prime factorization of 60875 in exponential form is:

60875 = 5³ × 487¹

Step-3: Factors of 60865

List of positive integer factors of 60865 that divides 60865 without a remainder.

1, 5, 7, 35, 37, 47, 185, 235, 259, 329, 1295, 1645, 1739, 8695, 12173

Step-4: Factors of 60875

List of positive integer factors of 60875 that divides 60865 without a remainder.

1, 5, 25, 125, 487, 2435, 12175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60865 and 60875. The biggest common factor number is the GCF number.
So the greatest common factor 60865 and 60875 is 5.

Also check out the Least Common Multiple of 60865 and 60875