What is the Greatest Common Factor of 13125 and 13141?

Greatest common factor (GCF) of 13125 and 13141 is 1.

GCF(13125,13141) = 1

We will now calculate the prime factors of 13125 and 13141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13125 and 13141.

How to find the GCF of 13125 and 13141?

We will first find the prime factorization of 13125 and 13141. After we will calculate the factors of 13125 and 13141 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 13141

Prime factors of 13141 are 17, 773. Prime factorization of 13141 in exponential form is:

13141 = 17¹ × 773¹

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 13141

List of positive integer factors of 13141 that divides 13125 without a remainder.

1, 17, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13125 and 13141. The biggest common factor number is the GCF number.
So the greatest common factor 13125 and 13141 is 1.

Also check out the Least Common Multiple of 13125 and 13141