What is the Greatest Common Factor of 36875 and 36895?

Greatest common factor (GCF) of 36875 and 36895 is 5.

GCF(36875,36895) = 5

We will now calculate the prime factors of 36875 and 36895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36875 and 36895.

How to find the GCF of 36875 and 36895?

We will first find the prime factorization of 36875 and 36895. After we will calculate the factors of 36875 and 36895 and find the biggest common factor number .

Step-1: Prime Factorization of 36875

Prime factors of 36875 are 5, 59. Prime factorization of 36875 in exponential form is:

36875 = 5⁴ × 59¹

Step-2: Prime Factorization of 36895

Prime factors of 36895 are 5, 47, 157. Prime factorization of 36895 in exponential form is:

36895 = 5¹ × 47¹ × 157¹

Step-3: Factors of 36875

List of positive integer factors of 36875 that divides 36875 without a remainder.

1, 5, 25, 59, 125, 295, 625, 1475, 7375

Step-4: Factors of 36895

List of positive integer factors of 36895 that divides 36875 without a remainder.

1, 5, 47, 157, 235, 785, 7379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36875 and 36895. The biggest common factor number is the GCF number.
So the greatest common factor 36875 and 36895 is 5.

Also check out the Least Common Multiple of 36875 and 36895