What is the Greatest Common Factor of 37791 and 37810?

Greatest common factor (GCF) of 37791 and 37810 is 19.

GCF(37791,37810) = 19

We will now calculate the prime factors of 37791 and 37810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37791 and 37810.

How to find the GCF of 37791 and 37810?

We will first find the prime factorization of 37791 and 37810. After we will calculate the factors of 37791 and 37810 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 37810

Prime factors of 37810 are 2, 5, 19, 199. Prime factorization of 37810 in exponential form is:

37810 = 2¹ × 5¹ × 19¹ × 199¹

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 37810

List of positive integer factors of 37810 that divides 37791 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 199, 398, 995, 1990, 3781, 7562, 18905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37791 and 37810. The biggest common factor number is the GCF number.
So the greatest common factor 37791 and 37810 is 19.

Also check out the Least Common Multiple of 37791 and 37810