What is the Greatest Common Factor of 37944 and 37953?

Greatest common factor (GCF) of 37944 and 37953 is 9.

GCF(37944,37953) = 9

We will now calculate the prime factors of 37944 and 37953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37944 and 37953.

How to find the GCF of 37944 and 37953?

We will first find the prime factorization of 37944 and 37953. After we will calculate the factors of 37944 and 37953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37953

Prime factors of 37953 are 3, 4217. Prime factorization of 37953 in exponential form is:

37953 = 3² × 4217¹

Step-3: Factors of 37944

List of positive integer factors of 37944 that divides 37944 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

Step-4: Factors of 37953

List of positive integer factors of 37953 that divides 37944 without a remainder.

1, 3, 9, 4217, 12651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37944 and 37953. The biggest common factor number is the GCF number.
So the greatest common factor 37944 and 37953 is 9.

Also check out the Least Common Multiple of 37944 and 37953