What is the Greatest Common Factor of 49250 and 49259?

Greatest common factor (GCF) of 49250 and 49259 is 1.

GCF(49250,49259) = 1

We will now calculate the prime factors of 49250 and 49259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49259.

How to find the GCF of 49250 and 49259?

We will first find the prime factorization of 49250 and 49259. After we will calculate the factors of 49250 and 49259 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 49259

Prime factors of 49259 are 7, 31, 227. Prime factorization of 49259 in exponential form is:

49259 = 7¹ × 31¹ × 227¹

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 49259

List of positive integer factors of 49259 that divides 49250 without a remainder.

1, 7, 31, 217, 227, 1589, 7037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49259. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49259 is 1.

Also check out the Least Common Multiple of 49250 and 49259