What is the Greatest Common Factor of 37994 and 38005?

Greatest common factor (GCF) of 37994 and 38005 is 11.

GCF(37994,38005) = 11

We will now calculate the prime factors of 37994 and 38005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37994 and 38005.

How to find the GCF of 37994 and 38005?

We will first find the prime factorization of 37994 and 38005. After we will calculate the factors of 37994 and 38005 and find the biggest common factor number .

Step-1: Prime Factorization of 37994

Prime factors of 37994 are 2, 11, 157. Prime factorization of 37994 in exponential form is:

37994 = 2¹ × 11² × 157¹

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 37994

List of positive integer factors of 37994 that divides 37994 without a remainder.

1, 2, 11, 22, 121, 157, 242, 314, 1727, 3454, 18997

Step-4: Factors of 38005

List of positive integer factors of 38005 that divides 37994 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37994 and 38005. The biggest common factor number is the GCF number.
So the greatest common factor 37994 and 38005 is 11.

Also check out the Least Common Multiple of 37994 and 38005