What is the Greatest Common Factor of 14877 and 14896?

Greatest common factor (GCF) of 14877 and 14896 is 19.

GCF(14877,14896) = 19

We will now calculate the prime factors of 14877 and 14896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14877 and 14896.

How to find the GCF of 14877 and 14896?

We will first find the prime factorization of 14877 and 14896. After we will calculate the factors of 14877 and 14896 and find the biggest common factor number .

Step-1: Prime Factorization of 14877

Prime factors of 14877 are 3, 19, 29. Prime factorization of 14877 in exponential form is:

14877 = 3³ × 19¹ × 29¹

Step-2: 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-3: Factors of 14877

List of positive integer factors of 14877 that divides 14877 without a remainder.

1, 3, 9, 19, 27, 29, 57, 87, 171, 261, 513, 551, 783, 1653, 4959

Step-4: Factors of 14896

List of positive integer factors of 14896 that divides 14877 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14877 and 14896. The biggest common factor number is the GCF number.
So the greatest common factor 14877 and 14896 is 19.

Also check out the Least Common Multiple of 14877 and 14896