What is the Greatest Common Factor of 49077 and 49095?

Greatest common factor (GCF) of 49077 and 49095 is 9.

GCF(49077,49095) = 9

We will now calculate the prime factors of 49077 and 49095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49077 and 49095.

How to find the GCF of 49077 and 49095?

We will first find the prime factorization of 49077 and 49095. After we will calculate the factors of 49077 and 49095 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 49095

Prime factors of 49095 are 3, 5, 1091. Prime factorization of 49095 in exponential form is:

49095 = 3² × 5¹ × 1091¹

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 49095

List of positive integer factors of 49095 that divides 49077 without a remainder.

1, 3, 5, 9, 15, 45, 1091, 3273, 5455, 9819, 16365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49077 and 49095. The biggest common factor number is the GCF number.
So the greatest common factor 49077 and 49095 is 9.

Also check out the Least Common Multiple of 49077 and 49095