What is the Greatest Common Factor of 37180 and 37189?

Greatest common factor (GCF) of 37180 and 37189 is 1.

GCF(37180,37189) = 1

We will now calculate the prime factors of 37180 and 37189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37180 and 37189.

How to find the GCF of 37180 and 37189?

We will first find the prime factorization of 37180 and 37189. After we will calculate the factors of 37180 and 37189 and find the biggest common factor number .

Step-1: Prime Factorization of 37180

Prime factors of 37180 are 2, 5, 11, 13. Prime factorization of 37180 in exponential form is:

37180 = 2² × 5¹ × 11¹ × 13²

Step-2: Prime Factorization of 37189

Prime factors of 37189 are 37189. Prime factorization of 37189 in exponential form is:

37189 = 37189¹

Step-3: Factors of 37180

List of positive integer factors of 37180 that divides 37180 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 169, 220, 260, 286, 338, 572, 676, 715, 845, 1430, 1690, 1859, 2860, 3380, 3718, 7436, 9295, 18590

Step-4: Factors of 37189

List of positive integer factors of 37189 that divides 37180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37180 and 37189. The biggest common factor number is the GCF number.
So the greatest common factor 37180 and 37189 is 1.

Also check out the Least Common Multiple of 37180 and 37189