What is the Greatest Common Factor of 92870 and 92875?

Greatest common factor (GCF) of 92870 and 92875 is 5.

GCF(92870,92875) = 5

We will now calculate the prime factors of 92870 and 92875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92870 and 92875.

How to find the GCF of 92870 and 92875?

We will first find the prime factorization of 92870 and 92875. After we will calculate the factors of 92870 and 92875 and find the biggest common factor number .

Step-1: Prime Factorization of 92870

Prime factors of 92870 are 2, 5, 37, 251. Prime factorization of 92870 in exponential form is:

92870 = 2¹ × 5¹ × 37¹ × 251¹

Step-2: Prime Factorization of 92875

Prime factors of 92875 are 5, 743. Prime factorization of 92875 in exponential form is:

92875 = 5³ × 743¹

Step-3: Factors of 92870

List of positive integer factors of 92870 that divides 92870 without a remainder.

1, 2, 5, 10, 37, 74, 185, 251, 370, 502, 1255, 2510, 9287, 18574, 46435

Step-4: Factors of 92875

List of positive integer factors of 92875 that divides 92870 without a remainder.

1, 5, 25, 125, 743, 3715, 18575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92870 and 92875. The biggest common factor number is the GCF number.
So the greatest common factor 92870 and 92875 is 5.

Also check out the Least Common Multiple of 92870 and 92875