What is the Greatest Common Factor of 14949 and 14957?

Greatest common factor (GCF) of 14949 and 14957 is 1.

GCF(14949,14957) = 1

We will now calculate the prime factors of 14949 and 14957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14949 and 14957.

How to find the GCF of 14949 and 14957?

We will first find the prime factorization of 14949 and 14957. After we will calculate the factors of 14949 and 14957 and find the biggest common factor number .

Step-1: Prime Factorization of 14949

Prime factors of 14949 are 3, 11, 151. Prime factorization of 14949 in exponential form is:

14949 = 3² × 11¹ × 151¹

Step-2: Prime Factorization of 14957

Prime factors of 14957 are 14957. Prime factorization of 14957 in exponential form is:

14957 = 14957¹

Step-3: Factors of 14949

List of positive integer factors of 14949 that divides 14949 without a remainder.

1, 3, 9, 11, 33, 99, 151, 453, 1359, 1661, 4983

Step-4: Factors of 14957

List of positive integer factors of 14957 that divides 14949 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14949 and 14957. The biggest common factor number is the GCF number.
So the greatest common factor 14949 and 14957 is 1.

Also check out the Least Common Multiple of 14949 and 14957