What is the Greatest Common Factor of 37250 and 37260?

Greatest common factor (GCF) of 37250 and 37260 is 10.

GCF(37250,37260) = 10

We will now calculate the prime factors of 37250 and 37260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37250 and 37260.

How to find the GCF of 37250 and 37260?

We will first find the prime factorization of 37250 and 37260. After we will calculate the factors of 37250 and 37260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37260

Prime factors of 37260 are 2, 3, 5, 23. Prime factorization of 37260 in exponential form is:

37260 = 2² × 3⁴ × 5¹ × 23¹

Step-3: Factors of 37250

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

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

Step-4: Factors of 37260

List of positive integer factors of 37260 that divides 37250 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 81, 90, 92, 108, 115, 135, 138, 162, 180, 207, 230, 270, 276, 324, 345, 405, 414, 460, 540, 621, 690, 810, 828, 1035, 1242, 1380, 1620, 1863, 2070, 2484, 3105, 3726, 4140, 6210, 7452, 9315, 12420, 18630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37250 and 37260. The biggest common factor number is the GCF number.
So the greatest common factor 37250 and 37260 is 10.

Also check out the Least Common Multiple of 37250 and 37260