What is the Greatest Common Factor of 49250 and 49265?

Greatest common factor (GCF) of 49250 and 49265 is 5.

GCF(49250,49265) = 5

We will now calculate the prime factors of 49250 and 49265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49265.

How to find the GCF of 49250 and 49265?

We will first find the prime factorization of 49250 and 49265. After we will calculate the factors of 49250 and 49265 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 49265

Prime factors of 49265 are 5, 59, 167. Prime factorization of 49265 in exponential form is:

49265 = 5¹ × 59¹ × 167¹

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 49265

List of positive integer factors of 49265 that divides 49250 without a remainder.

1, 5, 59, 167, 295, 835, 9853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49265. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49265 is 5.

Also check out the Least Common Multiple of 49250 and 49265