What is the Greatest Common Factor of 36125 and 36131?

Greatest common factor (GCF) of 36125 and 36131 is 1.

GCF(36125,36131) = 1

We will now calculate the prime factors of 36125 and 36131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36125 and 36131.

How to find the GCF of 36125 and 36131?

We will first find the prime factorization of 36125 and 36131. After we will calculate the factors of 36125 and 36131 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 36131

Prime factors of 36131 are 36131. Prime factorization of 36131 in exponential form is:

36131 = 36131¹

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 36131

List of positive integer factors of 36131 that divides 36125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36125 and 36131. The biggest common factor number is the GCF number.
So the greatest common factor 36125 and 36131 is 1.

Also check out the Least Common Multiple of 36125 and 36131