What is the Greatest Common Factor of 49096 and 49116?

Greatest common factor (GCF) of 49096 and 49116 is 4.

GCF(49096,49116) = 4

We will now calculate the prime factors of 49096 and 49116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49096 and 49116.

How to find the GCF of 49096 and 49116?

We will first find the prime factorization of 49096 and 49116. After we will calculate the factors of 49096 and 49116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49116

Prime factors of 49116 are 2, 3, 4093. Prime factorization of 49116 in exponential form is:

49116 = 2² × 3¹ × 4093¹

Step-3: Factors of 49096

List of positive integer factors of 49096 that divides 49096 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

Step-4: Factors of 49116

List of positive integer factors of 49116 that divides 49096 without a remainder.

1, 2, 3, 4, 6, 12, 4093, 8186, 12279, 16372, 24558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49096 and 49116. The biggest common factor number is the GCF number.
So the greatest common factor 49096 and 49116 is 4.

Also check out the Least Common Multiple of 49096 and 49116