What is the Greatest Common Factor of 13114 and 13125?

Greatest common factor (GCF) of 13114 and 13125 is 1.

GCF(13114,13125) = 1

We will now calculate the prime factors of 13114 and 13125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13114 and 13125.

How to find the GCF of 13114 and 13125?

We will first find the prime factorization of 13114 and 13125. After we will calculate the factors of 13114 and 13125 and find the biggest common factor number .

Step-1: Prime Factorization of 13114

Prime factors of 13114 are 2, 79, 83. Prime factorization of 13114 in exponential form is:

13114 = 2¹ × 79¹ × 83¹

Step-2: 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-3: Factors of 13114

List of positive integer factors of 13114 that divides 13114 without a remainder.

1, 2, 79, 83, 158, 166, 6557

Step-4: Factors of 13125

List of positive integer factors of 13125 that divides 13114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13114 and 13125. The biggest common factor number is the GCF number.
So the greatest common factor 13114 and 13125 is 1.

Also check out the Least Common Multiple of 13114 and 13125