What is the Greatest Common Factor of 37260 and 37270?

Greatest common factor (GCF) of 37260 and 37270 is 10.

GCF(37260,37270) = 10

We will now calculate the prime factors of 37260 and 37270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37260 and 37270.

How to find the GCF of 37260 and 37270?

We will first find the prime factorization of 37260 and 37270. After we will calculate the factors of 37260 and 37270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37270

Prime factors of 37270 are 2, 5, 3727. Prime factorization of 37270 in exponential form is:

37270 = 2¹ × 5¹ × 3727¹

Step-3: Factors of 37260

List of positive integer factors of 37260 that divides 37260 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

Step-4: Factors of 37270

List of positive integer factors of 37270 that divides 37260 without a remainder.

1, 2, 5, 10, 3727, 7454, 18635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37260 and 37270. The biggest common factor number is the GCF number.
So the greatest common factor 37260 and 37270 is 10.

Also check out the Least Common Multiple of 37260 and 37270