What is the Greatest Common Factor of 37935 and 37944?

Greatest common factor (GCF) of 37935 and 37944 is 9.

GCF(37935,37944) = 9

We will now calculate the prime factors of 37935 and 37944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37935 and 37944.

How to find the GCF of 37935 and 37944?

We will first find the prime factorization of 37935 and 37944. After we will calculate the factors of 37935 and 37944 and find the biggest common factor number .

Step-1: Prime Factorization of 37935

Prime factors of 37935 are 3, 5, 281. Prime factorization of 37935 in exponential form is:

37935 = 3³ × 5¹ × 281¹

Step-2: Prime Factorization of 37944

Prime factors of 37944 are 2, 3, 17, 31. Prime factorization of 37944 in exponential form is:

37944 = 2³ × 3² × 17¹ × 31¹

Step-3: Factors of 37935

List of positive integer factors of 37935 that divides 37935 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 281, 843, 1405, 2529, 4215, 7587, 12645

Step-4: Factors of 37944

List of positive integer factors of 37944 that divides 37935 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 31, 34, 36, 51, 62, 68, 72, 93, 102, 124, 136, 153, 186, 204, 248, 279, 306, 372, 408, 527, 558, 612, 744, 1054, 1116, 1224, 1581, 2108, 2232, 3162, 4216, 4743, 6324, 9486, 12648, 18972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37935 and 37944. The biggest common factor number is the GCF number.
So the greatest common factor 37935 and 37944 is 9.

Also check out the Least Common Multiple of 37935 and 37944