What is the Greatest Common Factor of 36460 and 36475?

Greatest common factor (GCF) of 36460 and 36475 is 5.

GCF(36460,36475) = 5

We will now calculate the prime factors of 36460 and 36475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36460 and 36475.

How to find the GCF of 36460 and 36475?

We will first find the prime factorization of 36460 and 36475. After we will calculate the factors of 36460 and 36475 and find the biggest common factor number .

Step-1: Prime Factorization of 36460

Prime factors of 36460 are 2, 5, 1823. Prime factorization of 36460 in exponential form is:

36460 = 2² × 5¹ × 1823¹

Step-2: Prime Factorization of 36475

Prime factors of 36475 are 5, 1459. Prime factorization of 36475 in exponential form is:

36475 = 5² × 1459¹

Step-3: Factors of 36460

List of positive integer factors of 36460 that divides 36460 without a remainder.

1, 2, 4, 5, 10, 20, 1823, 3646, 7292, 9115, 18230

Step-4: Factors of 36475

List of positive integer factors of 36475 that divides 36460 without a remainder.

1, 5, 25, 1459, 7295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36460 and 36475. The biggest common factor number is the GCF number.
So the greatest common factor 36460 and 36475 is 5.

Also check out the Least Common Multiple of 36460 and 36475