What is the Greatest Common Factor of 37791 and 37808?

Greatest common factor (GCF) of 37791 and 37808 is 17.

GCF(37791,37808) = 17

We will now calculate the prime factors of 37791 and 37808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37791 and 37808.

How to find the GCF of 37791 and 37808?

We will first find the prime factorization of 37791 and 37808. After we will calculate the factors of 37791 and 37808 and find the biggest common factor number .

Step-1: Prime Factorization of 37791

Prime factors of 37791 are 3, 13, 17, 19. Prime factorization of 37791 in exponential form is:

37791 = 3² × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 37808

Prime factors of 37808 are 2, 17, 139. Prime factorization of 37808 in exponential form is:

37808 = 2⁴ × 17¹ × 139¹

Step-3: Factors of 37791

List of positive integer factors of 37791 that divides 37791 without a remainder.

1, 3, 9, 13, 17, 19, 39, 51, 57, 117, 153, 171, 221, 247, 323, 663, 741, 969, 1989, 2223, 2907, 4199, 12597

Step-4: Factors of 37808

List of positive integer factors of 37808 that divides 37791 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 139, 272, 278, 556, 1112, 2224, 2363, 4726, 9452, 18904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37791 and 37808. The biggest common factor number is the GCF number.
So the greatest common factor 37791 and 37808 is 17.

Also check out the Least Common Multiple of 37791 and 37808