What is the Greatest Common Factor of 39348 and 39353?

Greatest common factor (GCF) of 39348 and 39353 is 1.

GCF(39348,39353) = 1

We will now calculate the prime factors of 39348 and 39353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39348 and 39353.

How to find the GCF of 39348 and 39353?

We will first find the prime factorization of 39348 and 39353. After we will calculate the factors of 39348 and 39353 and find the biggest common factor number .

Step-1: Prime Factorization of 39348

Prime factors of 39348 are 2, 3, 1093. Prime factorization of 39348 in exponential form is:

39348 = 2² × 3² × 1093¹

Step-2: Prime Factorization of 39353

Prime factors of 39353 are 23, 29, 59. Prime factorization of 39353 in exponential form is:

39353 = 23¹ × 29¹ × 59¹

Step-3: Factors of 39348

List of positive integer factors of 39348 that divides 39348 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1093, 2186, 3279, 4372, 6558, 9837, 13116, 19674

Step-4: Factors of 39353

List of positive integer factors of 39353 that divides 39348 without a remainder.

1, 23, 29, 59, 667, 1357, 1711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39348 and 39353. The biggest common factor number is the GCF number.
So the greatest common factor 39348 and 39353 is 1.

Also check out the Least Common Multiple of 39348 and 39353