What is the Greatest Common Factor of 36125 and 36132?

Greatest common factor (GCF) of 36125 and 36132 is 1.

GCF(36125,36132) = 1

We will now calculate the prime factors of 36125 and 36132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36125 and 36132.

How to find the GCF of 36125 and 36132?

We will first find the prime factorization of 36125 and 36132. After we will calculate the factors of 36125 and 36132 and find the biggest common factor number .

Step-1: Prime Factorization of 36125

Prime factors of 36125 are 5, 17. Prime factorization of 36125 in exponential form is:

36125 = 5³ × 17²

Step-2: Prime Factorization of 36132

Prime factors of 36132 are 2, 3, 3011. Prime factorization of 36132 in exponential form is:

36132 = 2² × 3¹ × 3011¹

Step-3: Factors of 36125

List of positive integer factors of 36125 that divides 36125 without a remainder.

1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225

Step-4: Factors of 36132

List of positive integer factors of 36132 that divides 36125 without a remainder.

1, 2, 3, 4, 6, 12, 3011, 6022, 9033, 12044, 18066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36125 and 36132. The biggest common factor number is the GCF number.
So the greatest common factor 36125 and 36132 is 1.

Also check out the Least Common Multiple of 36125 and 36132