What is the Greatest Common Factor of 37905 and 37917?

Greatest common factor (GCF) of 37905 and 37917 is 3.

GCF(37905,37917) = 3

We will now calculate the prime factors of 37905 and 37917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37905 and 37917.

How to find the GCF of 37905 and 37917?

We will first find the prime factorization of 37905 and 37917. After we will calculate the factors of 37905 and 37917 and find the biggest common factor number .

Step-1: Prime Factorization of 37905

Prime factors of 37905 are 3, 5, 7, 19. Prime factorization of 37905 in exponential form is:

37905 = 3¹ × 5¹ × 7¹ × 19²

Step-2: Prime Factorization of 37917

Prime factors of 37917 are 3, 11, 383. Prime factorization of 37917 in exponential form is:

37917 = 3² × 11¹ × 383¹

Step-3: Factors of 37905

List of positive integer factors of 37905 that divides 37905 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 361, 399, 665, 1083, 1805, 1995, 2527, 5415, 7581, 12635

Step-4: Factors of 37917

List of positive integer factors of 37917 that divides 37905 without a remainder.

1, 3, 9, 11, 33, 99, 383, 1149, 3447, 4213, 12639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37905 and 37917. The biggest common factor number is the GCF number.
So the greatest common factor 37905 and 37917 is 3.

Also check out the Least Common Multiple of 37905 and 37917