What is the Greatest Common Factor of 14875 and 14891?

Greatest common factor (GCF) of 14875 and 14891 is 1.

GCF(14875,14891) = 1

We will now calculate the prime factors of 14875 and 14891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14875 and 14891.

How to find the GCF of 14875 and 14891?

We will first find the prime factorization of 14875 and 14891. After we will calculate the factors of 14875 and 14891 and find the biggest common factor number .

Step-1: Prime Factorization of 14875

Prime factors of 14875 are 5, 7, 17. Prime factorization of 14875 in exponential form is:

14875 = 5³ × 7¹ × 17¹

Step-2: Prime Factorization of 14891

Prime factors of 14891 are 14891. Prime factorization of 14891 in exponential form is:

14891 = 14891¹

Step-3: Factors of 14875

List of positive integer factors of 14875 that divides 14875 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 125, 175, 425, 595, 875, 2125, 2975

Step-4: Factors of 14891

List of positive integer factors of 14891 that divides 14875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14875 and 14891. The biggest common factor number is the GCF number.
So the greatest common factor 14875 and 14891 is 1.

Also check out the Least Common Multiple of 14875 and 14891