What is the Greatest Common Factor of 39368 and 39382?

Greatest common factor (GCF) of 39368 and 39382 is 14.

GCF(39368,39382) = 14

We will now calculate the prime factors of 39368 and 39382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39368 and 39382.

How to find the GCF of 39368 and 39382?

We will first find the prime factorization of 39368 and 39382. After we will calculate the factors of 39368 and 39382 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39382

Prime factors of 39382 are 2, 7, 29, 97. Prime factorization of 39382 in exponential form is:

39382 = 2¹ × 7¹ × 29¹ × 97¹

Step-3: Factors of 39368

List of positive integer factors of 39368 that divides 39368 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

Step-4: Factors of 39382

List of positive integer factors of 39382 that divides 39368 without a remainder.

1, 2, 7, 14, 29, 58, 97, 194, 203, 406, 679, 1358, 2813, 5626, 19691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39368 and 39382. The biggest common factor number is the GCF number.
So the greatest common factor 39368 and 39382 is 14.

Also check out the Least Common Multiple of 39368 and 39382