What is the Greatest Common Factor of 37580 and 37590?

Greatest common factor (GCF) of 37580 and 37590 is 10.

GCF(37580,37590) = 10

We will now calculate the prime factors of 37580 and 37590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37580 and 37590.

How to find the GCF of 37580 and 37590?

We will first find the prime factorization of 37580 and 37590. After we will calculate the factors of 37580 and 37590 and find the biggest common factor number .

Step-1: Prime Factorization of 37580

Prime factors of 37580 are 2, 5, 1879. Prime factorization of 37580 in exponential form is:

37580 = 2² × 5¹ × 1879¹

Step-2: Prime Factorization of 37590

Prime factors of 37590 are 2, 3, 5, 7, 179. Prime factorization of 37590 in exponential form is:

37590 = 2¹ × 3¹ × 5¹ × 7¹ × 179¹

Step-3: Factors of 37580

List of positive integer factors of 37580 that divides 37580 without a remainder.

1, 2, 4, 5, 10, 20, 1879, 3758, 7516, 9395, 18790

Step-4: Factors of 37590

List of positive integer factors of 37590 that divides 37580 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 179, 210, 358, 537, 895, 1074, 1253, 1790, 2506, 2685, 3759, 5370, 6265, 7518, 12530, 18795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37580 and 37590. The biggest common factor number is the GCF number.
So the greatest common factor 37580 and 37590 is 10.

Also check out the Least Common Multiple of 37580 and 37590