What is the Greatest Common Factor of 14889 and 14901?

Greatest common factor (GCF) of 14889 and 14901 is 3.

GCF(14889,14901) = 3

We will now calculate the prime factors of 14889 and 14901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14889 and 14901.

How to find the GCF of 14889 and 14901?

We will first find the prime factorization of 14889 and 14901. After we will calculate the factors of 14889 and 14901 and find the biggest common factor number .

Step-1: Prime Factorization of 14889

Prime factors of 14889 are 3, 7, 709. Prime factorization of 14889 in exponential form is:

14889 = 3¹ × 7¹ × 709¹

Step-2: Prime Factorization of 14901

Prime factors of 14901 are 3, 4967. Prime factorization of 14901 in exponential form is:

14901 = 3¹ × 4967¹

Step-3: Factors of 14889

List of positive integer factors of 14889 that divides 14889 without a remainder.

1, 3, 7, 21, 709, 2127, 4963

Step-4: Factors of 14901

List of positive integer factors of 14901 that divides 14889 without a remainder.

1, 3, 4967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14889 and 14901. The biggest common factor number is the GCF number.
So the greatest common factor 14889 and 14901 is 3.

Also check out the Least Common Multiple of 14889 and 14901