What is the Greatest Common Factor of 39338 and 39342?

Greatest common factor (GCF) of 39338 and 39342 is 2.

GCF(39338,39342) = 2

We will now calculate the prime factors of 39338 and 39342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39338 and 39342.

How to find the GCF of 39338 and 39342?

We will first find the prime factorization of 39338 and 39342. After we will calculate the factors of 39338 and 39342 and find the biggest common factor number .

Step-1: Prime Factorization of 39338

Prime factors of 39338 are 2, 13, 17, 89. Prime factorization of 39338 in exponential form is:

39338 = 2¹ × 13¹ × 17¹ × 89¹

Step-2: Prime Factorization of 39342

Prime factors of 39342 are 2, 3, 79, 83. Prime factorization of 39342 in exponential form is:

39342 = 2¹ × 3¹ × 79¹ × 83¹

Step-3: Factors of 39338

List of positive integer factors of 39338 that divides 39338 without a remainder.

1, 2, 13, 17, 26, 34, 89, 178, 221, 442, 1157, 1513, 2314, 3026, 19669

Step-4: Factors of 39342

List of positive integer factors of 39342 that divides 39338 without a remainder.

1, 2, 3, 6, 79, 83, 158, 166, 237, 249, 474, 498, 6557, 13114, 19671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39338 and 39342. The biggest common factor number is the GCF number.
So the greatest common factor 39338 and 39342 is 2.

Also check out the Least Common Multiple of 39338 and 39342