What is the Greatest Common Factor of 39342 and 39357?

Greatest common factor (GCF) of 39342 and 39357 is 3.

GCF(39342,39357) = 3

We will now calculate the prime factors of 39342 and 39357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39342 and 39357.

How to find the GCF of 39342 and 39357?

We will first find the prime factorization of 39342 and 39357. After we will calculate the factors of 39342 and 39357 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39357

Prime factors of 39357 are 3, 4373. Prime factorization of 39357 in exponential form is:

39357 = 3² × 4373¹

Step-3: Factors of 39342

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

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

Step-4: Factors of 39357

List of positive integer factors of 39357 that divides 39342 without a remainder.

1, 3, 9, 4373, 13119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39342 and 39357. The biggest common factor number is the GCF number.
So the greatest common factor 39342 and 39357 is 3.

Also check out the Least Common Multiple of 39342 and 39357