What is the Greatest Common Factor of 14896 and 14915?

Greatest common factor (GCF) of 14896 and 14915 is 19.

GCF(14896,14915) = 19

We will now calculate the prime factors of 14896 and 14915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14896 and 14915.

How to find the GCF of 14896 and 14915?

We will first find the prime factorization of 14896 and 14915. After we will calculate the factors of 14896 and 14915 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 14915

Prime factors of 14915 are 5, 19, 157. Prime factorization of 14915 in exponential form is:

14915 = 5¹ × 19¹ × 157¹

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 14915

List of positive integer factors of 14915 that divides 14896 without a remainder.

1, 5, 19, 95, 157, 785, 2983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14896 and 14915. The biggest common factor number is the GCF number.
So the greatest common factor 14896 and 14915 is 19.

Also check out the Least Common Multiple of 14896 and 14915