What is the Greatest Common Factor of 49096 and 49113?

Greatest common factor (GCF) of 49096 and 49113 is 17.

GCF(49096,49113) = 17

We will now calculate the prime factors of 49096 and 49113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49096 and 49113.

How to find the GCF of 49096 and 49113?

We will first find the prime factorization of 49096 and 49113. After we will calculate the factors of 49096 and 49113 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 49113

Prime factors of 49113 are 3, 17, 107. Prime factorization of 49113 in exponential form is:

49113 = 3³ × 17¹ × 107¹

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 49113

List of positive integer factors of 49113 that divides 49096 without a remainder.

1, 3, 9, 17, 27, 51, 107, 153, 321, 459, 963, 1819, 2889, 5457, 16371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49096 and 49113. The biggest common factor number is the GCF number.
So the greatest common factor 49096 and 49113 is 17.

Also check out the Least Common Multiple of 49096 and 49113