What is the Greatest Common Factor of 37080 and 37098?

Greatest common factor (GCF) of 37080 and 37098 is 18.

GCF(37080,37098) = 18

We will now calculate the prime factors of 37080 and 37098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37080 and 37098.

How to find the GCF of 37080 and 37098?

We will first find the prime factorization of 37080 and 37098. After we will calculate the factors of 37080 and 37098 and find the biggest common factor number .

Step-1: Prime Factorization of 37080

Prime factors of 37080 are 2, 3, 5, 103. Prime factorization of 37080 in exponential form is:

37080 = 2³ × 3² × 5¹ × 103¹

Step-2: Prime Factorization of 37098

Prime factors of 37098 are 2, 3, 229. Prime factorization of 37098 in exponential form is:

37098 = 2¹ × 3⁴ × 229¹

Step-3: Factors of 37080

List of positive integer factors of 37080 that divides 37080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 103, 120, 180, 206, 309, 360, 412, 515, 618, 824, 927, 1030, 1236, 1545, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 6180, 7416, 9270, 12360, 18540

Step-4: Factors of 37098

List of positive integer factors of 37098 that divides 37080 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 229, 458, 687, 1374, 2061, 4122, 6183, 12366, 18549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37080 and 37098. The biggest common factor number is the GCF number.
So the greatest common factor 37080 and 37098 is 18.

Also check out the Least Common Multiple of 37080 and 37098