What is the Greatest Common Factor of 37990 and 38008?

Greatest common factor (GCF) of 37990 and 38008 is 2.

GCF(37990,38008) = 2

We will now calculate the prime factors of 37990 and 38008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37990 and 38008.

How to find the GCF of 37990 and 38008?

We will first find the prime factorization of 37990 and 38008. After we will calculate the factors of 37990 and 38008 and find the biggest common factor number .

Step-1: Prime Factorization of 37990

Prime factors of 37990 are 2, 5, 29, 131. Prime factorization of 37990 in exponential form is:

37990 = 2¹ × 5¹ × 29¹ × 131¹

Step-2: Prime Factorization of 38008

Prime factors of 38008 are 2, 4751. Prime factorization of 38008 in exponential form is:

38008 = 2³ × 4751¹

Step-3: Factors of 37990

List of positive integer factors of 37990 that divides 37990 without a remainder.

1, 2, 5, 10, 29, 58, 131, 145, 262, 290, 655, 1310, 3799, 7598, 18995

Step-4: Factors of 38008

List of positive integer factors of 38008 that divides 37990 without a remainder.

1, 2, 4, 8, 4751, 9502, 19004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37990 and 38008. The biggest common factor number is the GCF number.
So the greatest common factor 37990 and 38008 is 2.

Also check out the Least Common Multiple of 37990 and 38008