What is the Greatest Common Factor of 14937 and 14949?

Greatest common factor (GCF) of 14937 and 14949 is 3.

GCF(14937,14949) = 3

We will now calculate the prime factors of 14937 and 14949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14937 and 14949.

How to find the GCF of 14937 and 14949?

We will first find the prime factorization of 14937 and 14949. After we will calculate the factors of 14937 and 14949 and find the biggest common factor number .

Step-1: Prime Factorization of 14937

Prime factors of 14937 are 3, 13, 383. Prime factorization of 14937 in exponential form is:

14937 = 3¹ × 13¹ × 383¹

Step-2: 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-3: Factors of 14937

List of positive integer factors of 14937 that divides 14937 without a remainder.

1, 3, 13, 39, 383, 1149, 4979

Step-4: Factors of 14949

List of positive integer factors of 14949 that divides 14937 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14937 and 14949. The biggest common factor number is the GCF number.
So the greatest common factor 14937 and 14949 is 3.

Also check out the Least Common Multiple of 14937 and 14949