What is the Greatest Common Factor of 38002 and 38006?

Greatest common factor (GCF) of 38002 and 38006 is 2.

GCF(38002,38006) = 2

We will now calculate the prime factors of 38002 and 38006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38002 and 38006.

How to find the GCF of 38002 and 38006?

We will first find the prime factorization of 38002 and 38006. After we will calculate the factors of 38002 and 38006 and find the biggest common factor number .

Step-1: Prime Factorization of 38002

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

38002 = 2¹ × 19001¹

Step-2: Prime Factorization of 38006

Prime factors of 38006 are 2, 31, 613. Prime factorization of 38006 in exponential form is:

38006 = 2¹ × 31¹ × 613¹

Step-3: Factors of 38002

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

1, 2, 19001

Step-4: Factors of 38006

List of positive integer factors of 38006 that divides 38002 without a remainder.

1, 2, 31, 62, 613, 1226, 19003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38002 and 38006. The biggest common factor number is the GCF number.
So the greatest common factor 38002 and 38006 is 2.

Also check out the Least Common Multiple of 38002 and 38006