What is the Greatest Common Factor of 37990 and 38005?

Greatest common factor (GCF) of 37990 and 38005 is 5.

GCF(37990,38005) = 5

We will now calculate the prime factors of 37990 and 38005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37990 and 38005.

How to find the GCF of 37990 and 38005?

We will first find the prime factorization of 37990 and 38005. After we will calculate the factors of 37990 and 38005 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 38005

Prime factors of 38005 are 5, 11, 691. Prime factorization of 38005 in exponential form is:

38005 = 5¹ × 11¹ × 691¹

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 38005

List of positive integer factors of 38005 that divides 37990 without a remainder.

1, 5, 11, 55, 691, 3455, 7601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37990 and 38005. The biggest common factor number is the GCF number.
So the greatest common factor 37990 and 38005 is 5.

Also check out the Least Common Multiple of 37990 and 38005