What is the Greatest Common Factor of 49080 and 49096?

Greatest common factor (GCF) of 49080 and 49096 is 8.

GCF(49080,49096) = 8

We will now calculate the prime factors of 49080 and 49096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49080 and 49096.

How to find the GCF of 49080 and 49096?

We will first find the prime factorization of 49080 and 49096. After we will calculate the factors of 49080 and 49096 and find the biggest common factor number .

Step-1: Prime Factorization of 49080

Prime factors of 49080 are 2, 3, 5, 409. Prime factorization of 49080 in exponential form is:

49080 = 2³ × 3¹ × 5¹ × 409¹

Step-2: 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-3: Factors of 49080

List of positive integer factors of 49080 that divides 49080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 409, 818, 1227, 1636, 2045, 2454, 3272, 4090, 4908, 6135, 8180, 9816, 12270, 16360, 24540

Step-4: Factors of 49096

List of positive integer factors of 49096 that divides 49080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49080 and 49096. The biggest common factor number is the GCF number.
So the greatest common factor 49080 and 49096 is 8.

Also check out the Least Common Multiple of 49080 and 49096