What is the Greatest Common Factor of 49250 and 49256?

Greatest common factor (GCF) of 49250 and 49256 is 2.

GCF(49250,49256) = 2

We will now calculate the prime factors of 49250 and 49256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49256.

How to find the GCF of 49250 and 49256?

We will first find the prime factorization of 49250 and 49256. After we will calculate the factors of 49250 and 49256 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 49256

Prime factors of 49256 are 2, 47, 131. Prime factorization of 49256 in exponential form is:

49256 = 2³ × 47¹ × 131¹

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 49256

List of positive integer factors of 49256 that divides 49250 without a remainder.

1, 2, 4, 8, 47, 94, 131, 188, 262, 376, 524, 1048, 6157, 12314, 24628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49256. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49256 is 2.

Also check out the Least Common Multiple of 49250 and 49256