What is the Greatest Common Factor of 37994 and 38002?

Greatest common factor (GCF) of 37994 and 38002 is 2.

GCF(37994,38002) = 2

We will now calculate the prime factors of 37994 and 38002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37994 and 38002.

How to find the GCF of 37994 and 38002?

We will first find the prime factorization of 37994 and 38002. After we will calculate the factors of 37994 and 38002 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 38002

Prime factors of 38002 are 2, 19001. Prime factorization of 38002 in exponential form is:

38002 = 2¹ × 19001¹

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 38002

List of positive integer factors of 38002 that divides 37994 without a remainder.

1, 2, 19001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37994 and 38002. The biggest common factor number is the GCF number.
So the greatest common factor 37994 and 38002 is 2.

Also check out the Least Common Multiple of 37994 and 38002