What is the Greatest Common Factor of 37890 and 37908?

Greatest common factor (GCF) of 37890 and 37908 is 18.

GCF(37890,37908) = 18

We will now calculate the prime factors of 37890 and 37908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37890 and 37908.

How to find the GCF of 37890 and 37908?

We will first find the prime factorization of 37890 and 37908. After we will calculate the factors of 37890 and 37908 and find the biggest common factor number .

Step-1: Prime Factorization of 37890

Prime factors of 37890 are 2, 3, 5, 421. Prime factorization of 37890 in exponential form is:

37890 = 2¹ × 3² × 5¹ × 421¹

Step-2: Prime Factorization of 37908

Prime factors of 37908 are 2, 3, 13. Prime factorization of 37908 in exponential form is:

37908 = 2² × 3⁶ × 13¹

Step-3: Factors of 37890

List of positive integer factors of 37890 that divides 37890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 421, 842, 1263, 2105, 2526, 3789, 4210, 6315, 7578, 12630, 18945

Step-4: Factors of 37908

List of positive integer factors of 37908 that divides 37890 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 243, 324, 351, 468, 486, 702, 729, 972, 1053, 1404, 1458, 2106, 2916, 3159, 4212, 6318, 9477, 12636, 18954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37890 and 37908. The biggest common factor number is the GCF number.
So the greatest common factor 37890 and 37908 is 18.

Also check out the Least Common Multiple of 37890 and 37908