What is the Greatest Common Factor of 38022 and 38036?

Greatest common factor (GCF) of 38022 and 38036 is 2.

GCF(38022,38036) = 2

We will now calculate the prime factors of 38022 and 38036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38022 and 38036.

How to find the GCF of 38022 and 38036?

We will first find the prime factorization of 38022 and 38036. After we will calculate the factors of 38022 and 38036 and find the biggest common factor number .

Step-1: Prime Factorization of 38022

Prime factors of 38022 are 2, 3, 6337. Prime factorization of 38022 in exponential form is:

38022 = 2¹ × 3¹ × 6337¹

Step-2: Prime Factorization of 38036

Prime factors of 38036 are 2, 37, 257. Prime factorization of 38036 in exponential form is:

38036 = 2² × 37¹ × 257¹

Step-3: Factors of 38022

List of positive integer factors of 38022 that divides 38022 without a remainder.

1, 2, 3, 6, 6337, 12674, 19011

Step-4: Factors of 38036

List of positive integer factors of 38036 that divides 38022 without a remainder.

1, 2, 4, 37, 74, 148, 257, 514, 1028, 9509, 19018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38022 and 38036. The biggest common factor number is the GCF number.
So the greatest common factor 38022 and 38036 is 2.

Also check out the Least Common Multiple of 38022 and 38036