What is the Greatest Common Factor of 49250 and 49270?

Greatest common factor (GCF) of 49250 and 49270 is 10.

GCF(49250,49270) = 10

We will now calculate the prime factors of 49250 and 49270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49270.

How to find the GCF of 49250 and 49270?

We will first find the prime factorization of 49250 and 49270. After we will calculate the factors of 49250 and 49270 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 49270

Prime factors of 49270 are 2, 5, 13, 379. Prime factorization of 49270 in exponential form is:

49270 = 2¹ × 5¹ × 13¹ × 379¹

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 49270

List of positive integer factors of 49270 that divides 49250 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 379, 758, 1895, 3790, 4927, 9854, 24635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49270. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49270 is 10.

Also check out the Least Common Multiple of 49250 and 49270