What is the Greatest Common Factor of 49058 and 49077?

Greatest common factor (GCF) of 49058 and 49077 is 19.

GCF(49058,49077) = 19

We will now calculate the prime factors of 49058 and 49077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49058 and 49077.

How to find the GCF of 49058 and 49077?

We will first find the prime factorization of 49058 and 49077. After we will calculate the factors of 49058 and 49077 and find the biggest common factor number .

Step-1: Prime Factorization of 49058

Prime factors of 49058 are 2, 19, 1291. Prime factorization of 49058 in exponential form is:

49058 = 2¹ × 19¹ × 1291¹

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 49058

List of positive integer factors of 49058 that divides 49058 without a remainder.

1, 2, 19, 38, 1291, 2582, 24529

Step-4: Factors of 49077

List of positive integer factors of 49077 that divides 49058 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 49058 and 49077. The biggest common factor number is the GCF number.
So the greatest common factor 49058 and 49077 is 19.

Also check out the Least Common Multiple of 49058 and 49077