What is the Greatest Common Factor of 49096 and 49109?

Greatest common factor (GCF) of 49096 and 49109 is 1.

GCF(49096,49109) = 1

We will now calculate the prime factors of 49096 and 49109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49096 and 49109.

How to find the GCF of 49096 and 49109?

We will first find the prime factorization of 49096 and 49109. After we will calculate the factors of 49096 and 49109 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 49109

Prime factors of 49109 are 49109. Prime factorization of 49109 in exponential form is:

49109 = 49109¹

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 49109

List of positive integer factors of 49109 that divides 49096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49096 and 49109. The biggest common factor number is the GCF number.
So the greatest common factor 49096 and 49109 is 1.

Also check out the Least Common Multiple of 49096 and 49109