What is the Greatest Common Factor of 38322 and 38342?

Greatest common factor (GCF) of 38322 and 38342 is 2.

GCF(38322,38342) = 2

We will now calculate the prime factors of 38322 and 38342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38322 and 38342.

How to find the GCF of 38322 and 38342?

We will first find the prime factorization of 38322 and 38342. After we will calculate the factors of 38322 and 38342 and find the biggest common factor number .

Step-1: Prime Factorization of 38322

Prime factors of 38322 are 2, 3, 2129. Prime factorization of 38322 in exponential form is:

38322 = 2¹ × 3² × 2129¹

Step-2: Prime Factorization of 38342

Prime factors of 38342 are 2, 19, 1009. Prime factorization of 38342 in exponential form is:

38342 = 2¹ × 19¹ × 1009¹

Step-3: Factors of 38322

List of positive integer factors of 38322 that divides 38322 without a remainder.

1, 2, 3, 6, 9, 18, 2129, 4258, 6387, 12774, 19161

Step-4: Factors of 38342

List of positive integer factors of 38342 that divides 38322 without a remainder.

1, 2, 19, 38, 1009, 2018, 19171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38322 and 38342. The biggest common factor number is the GCF number.
So the greatest common factor 38322 and 38342 is 2.

Also check out the Least Common Multiple of 38322 and 38342