What is the Greatest Common Factor of 13125 and 13129?

Greatest common factor (GCF) of 13125 and 13129 is 1.

GCF(13125,13129) = 1

We will now calculate the prime factors of 13125 and 13129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13125 and 13129.

How to find the GCF of 13125 and 13129?

We will first find the prime factorization of 13125 and 13129. After we will calculate the factors of 13125 and 13129 and find the biggest common factor number .

Step-1: Prime Factorization of 13125

Prime factors of 13125 are 3, 5, 7. Prime factorization of 13125 in exponential form is:

13125 = 3¹ × 5⁴ × 7¹

Step-2: Prime Factorization of 13129

Prime factors of 13129 are 19, 691. Prime factorization of 13129 in exponential form is:

13129 = 19¹ × 691¹

Step-3: Factors of 13125

List of positive integer factors of 13125 that divides 13125 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 4375

Step-4: Factors of 13129

List of positive integer factors of 13129 that divides 13125 without a remainder.

1, 19, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13125 and 13129. The biggest common factor number is the GCF number.
So the greatest common factor 13125 and 13129 is 1.

Also check out the Least Common Multiple of 13125 and 13129