What is the Greatest Common Factor of 14919 and 14937?

Greatest common factor (GCF) of 14919 and 14937 is 3.

GCF(14919,14937) = 3

We will now calculate the prime factors of 14919 and 14937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14919 and 14937.

How to find the GCF of 14919 and 14937?

We will first find the prime factorization of 14919 and 14937. After we will calculate the factors of 14919 and 14937 and find the biggest common factor number .

Step-1: Prime Factorization of 14919

Prime factors of 14919 are 3, 4973. Prime factorization of 14919 in exponential form is:

14919 = 3¹ × 4973¹

Step-2: 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-3: Factors of 14919

List of positive integer factors of 14919 that divides 14919 without a remainder.

1, 3, 4973

Step-4: Factors of 14937

List of positive integer factors of 14937 that divides 14919 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14919 and 14937. The biggest common factor number is the GCF number.
So the greatest common factor 14919 and 14937 is 3.

Also check out the Least Common Multiple of 14919 and 14937