What is the Greatest Common Factor of 37923 and 37935?

Greatest common factor (GCF) of 37923 and 37935 is 3.

GCF(37923,37935) = 3

We will now calculate the prime factors of 37923 and 37935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37923 and 37935.

How to find the GCF of 37923 and 37935?

We will first find the prime factorization of 37923 and 37935. After we will calculate the factors of 37923 and 37935 and find the biggest common factor number .

Step-1: Prime Factorization of 37923

Prime factors of 37923 are 3, 12641. Prime factorization of 37923 in exponential form is:

37923 = 3¹ × 12641¹

Step-2: 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-3: Factors of 37923

List of positive integer factors of 37923 that divides 37923 without a remainder.

1, 3, 12641

Step-4: Factors of 37935

List of positive integer factors of 37935 that divides 37923 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37923 and 37935. The biggest common factor number is the GCF number.
So the greatest common factor 37923 and 37935 is 3.

Also check out the Least Common Multiple of 37923 and 37935