What is the Greatest Common Factor of 49077 and 49096?

Greatest common factor (GCF) of 49077 and 49096 is 19.

GCF(49077,49096) = 19

We will now calculate the prime factors of 49077 and 49096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49077 and 49096.

How to find the GCF of 49077 and 49096?

We will first find the prime factorization of 49077 and 49096. After we will calculate the factors of 49077 and 49096 and find the biggest common factor number .

Step-1: Prime Factorization of 49077

Prime factors of 49077 are 3, 7, 19, 41. Prime factorization of 49077 in exponential form is:

49077 = 3² × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 49096

Prime factors of 49096 are 2, 17, 19. Prime factorization of 49096 in exponential form is:

49096 = 2³ × 17¹ × 19²

Step-3: Factors of 49077

List of positive integer factors of 49077 that divides 49077 without a remainder.

1, 3, 7, 9, 19, 21, 41, 57, 63, 123, 133, 171, 287, 369, 399, 779, 861, 1197, 2337, 2583, 5453, 7011, 16359

Step-4: Factors of 49096

List of positive integer factors of 49096 that divides 49077 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 361, 646, 722, 1292, 1444, 2584, 2888, 6137, 12274, 24548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49077 and 49096. The biggest common factor number is the GCF number.
So the greatest common factor 49077 and 49096 is 19.

Also check out the Least Common Multiple of 49077 and 49096