What is the Greatest Common Factor of 14896 and 14913?

Greatest common factor (GCF) of 14896 and 14913 is 1.

GCF(14896,14913) = 1

We will now calculate the prime factors of 14896 and 14913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14896 and 14913.

How to find the GCF of 14896 and 14913?

We will first find the prime factorization of 14896 and 14913. After we will calculate the factors of 14896 and 14913 and find the biggest common factor number .

Step-1: Prime Factorization of 14896

Prime factors of 14896 are 2, 7, 19. Prime factorization of 14896 in exponential form is:

14896 = 2⁴ × 7² × 19¹

Step-2: Prime Factorization of 14913

Prime factors of 14913 are 3, 1657. Prime factorization of 14913 in exponential form is:

14913 = 3² × 1657¹

Step-3: Factors of 14896

List of positive integer factors of 14896 that divides 14896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 49, 56, 76, 98, 112, 133, 152, 196, 266, 304, 392, 532, 784, 931, 1064, 1862, 2128, 3724, 7448

Step-4: Factors of 14913

List of positive integer factors of 14913 that divides 14896 without a remainder.

1, 3, 9, 1657, 4971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14896 and 14913. The biggest common factor number is the GCF number.
So the greatest common factor 14896 and 14913 is 1.

Also check out the Least Common Multiple of 14896 and 14913