What is the Greatest Common Factor of 37904 and 37918?

Greatest common factor (GCF) of 37904 and 37918 is 2.

GCF(37904,37918) = 2

We will now calculate the prime factors of 37904 and 37918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37904 and 37918.

How to find the GCF of 37904 and 37918?

We will first find the prime factorization of 37904 and 37918. After we will calculate the factors of 37904 and 37918 and find the biggest common factor number .

Step-1: Prime Factorization of 37904

Prime factors of 37904 are 2, 23, 103. Prime factorization of 37904 in exponential form is:

37904 = 2⁴ × 23¹ × 103¹

Step-2: Prime Factorization of 37918

Prime factors of 37918 are 2, 18959. Prime factorization of 37918 in exponential form is:

37918 = 2¹ × 18959¹

Step-3: Factors of 37904

List of positive integer factors of 37904 that divides 37904 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 103, 184, 206, 368, 412, 824, 1648, 2369, 4738, 9476, 18952

Step-4: Factors of 37918

List of positive integer factors of 37918 that divides 37904 without a remainder.

1, 2, 18959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37904 and 37918. The biggest common factor number is the GCF number.
So the greatest common factor 37904 and 37918 is 2.

Also check out the Least Common Multiple of 37904 and 37918