What is the Greatest Common Factor of 38022 and 38030?

Greatest common factor (GCF) of 38022 and 38030 is 2.

GCF(38022,38030) = 2

We will now calculate the prime factors of 38022 and 38030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38022 and 38030.

How to find the GCF of 38022 and 38030?

We will first find the prime factorization of 38022 and 38030. After we will calculate the factors of 38022 and 38030 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 38030

Prime factors of 38030 are 2, 5, 3803. Prime factorization of 38030 in exponential form is:

38030 = 2¹ × 5¹ × 3803¹

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 38030

List of positive integer factors of 38030 that divides 38022 without a remainder.

1, 2, 5, 10, 3803, 7606, 19015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38022 and 38030. The biggest common factor number is the GCF number.
So the greatest common factor 38022 and 38030 is 2.

Also check out the Least Common Multiple of 38022 and 38030