What is the Greatest Common Factor of 49250 and 49264?

Greatest common factor (GCF) of 49250 and 49264 is 2.

GCF(49250,49264) = 2

We will now calculate the prime factors of 49250 and 49264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49264.

How to find the GCF of 49250 and 49264?

We will first find the prime factorization of 49250 and 49264. After we will calculate the factors of 49250 and 49264 and find the biggest common factor number .

Step-1: Prime Factorization of 49250

Prime factors of 49250 are 2, 5, 197. Prime factorization of 49250 in exponential form is:

49250 = 2¹ × 5³ × 197¹

Step-2: Prime Factorization of 49264

Prime factors of 49264 are 2, 3079. Prime factorization of 49264 in exponential form is:

49264 = 2⁴ × 3079¹

Step-3: Factors of 49250

List of positive integer factors of 49250 that divides 49250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 197, 250, 394, 985, 1970, 4925, 9850, 24625

Step-4: Factors of 49264

List of positive integer factors of 49264 that divides 49250 without a remainder.

1, 2, 4, 8, 16, 3079, 6158, 12316, 24632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49264. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49264 is 2.

Also check out the Least Common Multiple of 49250 and 49264