What is the Greatest Common Factor of 49250 and 49261?

Greatest common factor (GCF) of 49250 and 49261 is 1.

GCF(49250,49261) = 1

We will now calculate the prime factors of 49250 and 49261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49261.

How to find the GCF of 49250 and 49261?

We will first find the prime factorization of 49250 and 49261. After we will calculate the factors of 49250 and 49261 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 49261

Prime factors of 49261 are 49261. Prime factorization of 49261 in exponential form is:

49261 = 49261¹

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 49261

List of positive integer factors of 49261 that divides 49250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49261. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49261 is 1.

Also check out the Least Common Multiple of 49250 and 49261