What is the Greatest Common Factor of 49059 and 49077?

Greatest common factor (GCF) of 49059 and 49077 is 9.

GCF(49059,49077) = 9

We will now calculate the prime factors of 49059 and 49077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49059 and 49077.

How to find the GCF of 49059 and 49077?

We will first find the prime factorization of 49059 and 49077. After we will calculate the factors of 49059 and 49077 and find the biggest common factor number .

Step-1: Prime Factorization of 49059

Prime factors of 49059 are 3, 23, 79. Prime factorization of 49059 in exponential form is:

49059 = 3³ × 23¹ × 79¹

Step-2: 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-3: Factors of 49059

List of positive integer factors of 49059 that divides 49059 without a remainder.

1, 3, 9, 23, 27, 69, 79, 207, 237, 621, 711, 1817, 2133, 5451, 16353

Step-4: Factors of 49077

List of positive integer factors of 49077 that divides 49059 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49059 and 49077. The biggest common factor number is the GCF number.
So the greatest common factor 49059 and 49077 is 9.

Also check out the Least Common Multiple of 49059 and 49077