What is the Greatest Common Factor of 37845 and 37860?

Greatest common factor (GCF) of 37845 and 37860 is 15.

GCF(37845,37860) = 15

We will now calculate the prime factors of 37845 and 37860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37845 and 37860.

How to find the GCF of 37845 and 37860?

We will first find the prime factorization of 37845 and 37860. After we will calculate the factors of 37845 and 37860 and find the biggest common factor number .

Step-1: Prime Factorization of 37845

Prime factors of 37845 are 3, 5, 29. Prime factorization of 37845 in exponential form is:

37845 = 3² × 5¹ × 29²

Step-2: Prime Factorization of 37860

Prime factors of 37860 are 2, 3, 5, 631. Prime factorization of 37860 in exponential form is:

37860 = 2² × 3¹ × 5¹ × 631¹

Step-3: Factors of 37845

List of positive integer factors of 37845 that divides 37845 without a remainder.

1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 841, 1305, 2523, 4205, 7569, 12615

Step-4: Factors of 37860

List of positive integer factors of 37860 that divides 37845 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 631, 1262, 1893, 2524, 3155, 3786, 6310, 7572, 9465, 12620, 18930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37845 and 37860. The biggest common factor number is the GCF number.
So the greatest common factor 37845 and 37860 is 15.

Also check out the Least Common Multiple of 37845 and 37860