What is the Greatest Common Factor of 39349 and 39368?

Greatest common factor (GCF) of 39349 and 39368 is 19.

GCF(39349,39368) = 19

We will now calculate the prime factors of 39349 and 39368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39349 and 39368.

How to find the GCF of 39349 and 39368?

We will first find the prime factorization of 39349 and 39368. After we will calculate the factors of 39349 and 39368 and find the biggest common factor number .

Step-1: Prime Factorization of 39349

Prime factors of 39349 are 19, 109. Prime factorization of 39349 in exponential form is:

39349 = 19² × 109¹

Step-2: Prime Factorization of 39368

Prime factors of 39368 are 2, 7, 19, 37. Prime factorization of 39368 in exponential form is:

39368 = 2³ × 7¹ × 19¹ × 37¹

Step-3: Factors of 39349

List of positive integer factors of 39349 that divides 39349 without a remainder.

1, 19, 109, 361, 2071

Step-4: Factors of 39368

List of positive integer factors of 39368 that divides 39349 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 37, 38, 56, 74, 76, 133, 148, 152, 259, 266, 296, 518, 532, 703, 1036, 1064, 1406, 2072, 2812, 4921, 5624, 9842, 19684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39349 and 39368. The biggest common factor number is the GCF number.
So the greatest common factor 39349 and 39368 is 19.

Also check out the Least Common Multiple of 39349 and 39368