What is the Greatest Common Factor of 10125 and 10137?

Greatest common factor (GCF) of 10125 and 10137 is 3.

GCF(10125,10137) = 3

We will now calculate the prime factors of 10125 and 10137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10125 and 10137.

How to find the GCF of 10125 and 10137?

We will first find the prime factorization of 10125 and 10137. After we will calculate the factors of 10125 and 10137 and find the biggest common factor number .

Step-1: Prime Factorization of 10125

Prime factors of 10125 are 3, 5. Prime factorization of 10125 in exponential form is:

10125 = 3⁴ × 5³

Step-2: Prime Factorization of 10137

Prime factors of 10137 are 3, 31, 109. Prime factorization of 10137 in exponential form is:

10137 = 3¹ × 31¹ × 109¹

Step-3: Factors of 10125

List of positive integer factors of 10125 that divides 10125 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 675, 1125, 2025, 3375

Step-4: Factors of 10137

List of positive integer factors of 10137 that divides 10125 without a remainder.

1, 3, 31, 93, 109, 327, 3379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10125 and 10137. The biggest common factor number is the GCF number.
So the greatest common factor 10125 and 10137 is 3.

Also check out the Least Common Multiple of 10125 and 10137