What is the Greatest Common Factor of 49250 and 49262?

Greatest common factor (GCF) of 49250 and 49262 is 2.

GCF(49250,49262) = 2

We will now calculate the prime factors of 49250 and 49262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49250 and 49262.

How to find the GCF of 49250 and 49262?

We will first find the prime factorization of 49250 and 49262. After we will calculate the factors of 49250 and 49262 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 49262

Prime factors of 49262 are 2, 24631. Prime factorization of 49262 in exponential form is:

49262 = 2¹ × 24631¹

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 49262

List of positive integer factors of 49262 that divides 49250 without a remainder.

1, 2, 24631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49250 and 49262. The biggest common factor number is the GCF number.
So the greatest common factor 49250 and 49262 is 2.

Also check out the Least Common Multiple of 49250 and 49262