What is the Greatest Common Factor of 49096 and 49100?

Greatest common factor (GCF) of 49096 and 49100 is 4.

GCF(49096,49100) = 4

We will now calculate the prime factors of 49096 and 49100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49096 and 49100.

How to find the GCF of 49096 and 49100?

We will first find the prime factorization of 49096 and 49100. After we will calculate the factors of 49096 and 49100 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 49100

Prime factors of 49100 are 2, 5, 491. Prime factorization of 49100 in exponential form is:

49100 = 2² × 5² × 491¹

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 49100

List of positive integer factors of 49100 that divides 49096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 491, 982, 1964, 2455, 4910, 9820, 12275, 24550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49096 and 49100. The biggest common factor number is the GCF number.
So the greatest common factor 49096 and 49100 is 4.

Also check out the Least Common Multiple of 49096 and 49100