What is the Greatest Common Factor of 49077 and 49084?

Greatest common factor (GCF) of 49077 and 49084 is 7.

GCF(49077,49084) = 7

We will now calculate the prime factors of 49077 and 49084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49077 and 49084.

How to find the GCF of 49077 and 49084?

We will first find the prime factorization of 49077 and 49084. After we will calculate the factors of 49077 and 49084 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 49084

Prime factors of 49084 are 2, 7, 1753. Prime factorization of 49084 in exponential form is:

49084 = 2² × 7¹ × 1753¹

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 49084

List of positive integer factors of 49084 that divides 49077 without a remainder.

1, 2, 4, 7, 14, 28, 1753, 3506, 7012, 12271, 24542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49077 and 49084. The biggest common factor number is the GCF number.
So the greatest common factor 49077 and 49084 is 7.

Also check out the Least Common Multiple of 49077 and 49084