What is the Greatest Common Factor of 37230 and 37250?

Greatest common factor (GCF) of 37230 and 37250 is 10.

GCF(37230,37250) = 10

We will now calculate the prime factors of 37230 and 37250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37230 and 37250.

How to find the GCF of 37230 and 37250?

We will first find the prime factorization of 37230 and 37250. After we will calculate the factors of 37230 and 37250 and find the biggest common factor number .

Step-1: Prime Factorization of 37230

Prime factors of 37230 are 2, 3, 5, 17, 73. Prime factorization of 37230 in exponential form is:

37230 = 2¹ × 3¹ × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 37250

Prime factors of 37250 are 2, 5, 149. Prime factorization of 37250 in exponential form is:

37250 = 2¹ × 5³ × 149¹

Step-3: Factors of 37230

List of positive integer factors of 37230 that divides 37230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 73, 85, 102, 146, 170, 219, 255, 365, 438, 510, 730, 1095, 1241, 2190, 2482, 3723, 6205, 7446, 12410, 18615

Step-4: Factors of 37250

List of positive integer factors of 37250 that divides 37230 without a remainder.

1, 2, 5, 10, 25, 50, 125, 149, 250, 298, 745, 1490, 3725, 7450, 18625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37230 and 37250. The biggest common factor number is the GCF number.
So the greatest common factor 37230 and 37250 is 10.

Also check out the Least Common Multiple of 37230 and 37250