What is the Greatest Common Factor of 36125 and 36138?

Greatest common factor (GCF) of 36125 and 36138 is 1.

GCF(36125,36138) = 1

We will now calculate the prime factors of 36125 and 36138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36125 and 36138.

How to find the GCF of 36125 and 36138?

We will first find the prime factorization of 36125 and 36138. After we will calculate the factors of 36125 and 36138 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 36138

Prime factors of 36138 are 2, 3, 19, 317. Prime factorization of 36138 in exponential form is:

36138 = 2¹ × 3¹ × 19¹ × 317¹

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 36138

List of positive integer factors of 36138 that divides 36125 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 317, 634, 951, 1902, 6023, 12046, 18069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36125 and 36138. The biggest common factor number is the GCF number.
So the greatest common factor 36125 and 36138 is 1.

Also check out the Least Common Multiple of 36125 and 36138