What is the Greatest Common Factor of 36865 and 36875?

Greatest common factor (GCF) of 36865 and 36875 is 5.

GCF(36865,36875) = 5

We will now calculate the prime factors of 36865 and 36875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36865 and 36875.

How to find the GCF of 36865 and 36875?

We will first find the prime factorization of 36865 and 36875. After we will calculate the factors of 36865 and 36875 and find the biggest common factor number .

Step-1: Prime Factorization of 36865

Prime factors of 36865 are 5, 73, 101. Prime factorization of 36865 in exponential form is:

36865 = 5¹ × 73¹ × 101¹

Step-2: Prime Factorization of 36875

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

36875 = 5⁴ × 59¹

Step-3: Factors of 36865

List of positive integer factors of 36865 that divides 36865 without a remainder.

1, 5, 73, 101, 365, 505, 7373

Step-4: Factors of 36875

List of positive integer factors of 36875 that divides 36865 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36865 and 36875. The biggest common factor number is the GCF number.
So the greatest common factor 36865 and 36875 is 5.

Also check out the Least Common Multiple of 36865 and 36875