What is the Greatest Common Factor of 39382 and 39396?

Greatest common factor (GCF) of 39382 and 39396 is 14.

GCF(39382,39396) = 14

We will now calculate the prime factors of 39382 and 39396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39382 and 39396.

How to find the GCF of 39382 and 39396?

We will first find the prime factorization of 39382 and 39396. After we will calculate the factors of 39382 and 39396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39396

Prime factors of 39396 are 2, 3, 7, 67. Prime factorization of 39396 in exponential form is:

39396 = 2² × 3¹ × 7² × 67¹

Step-3: Factors of 39382

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

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

Step-4: Factors of 39396

List of positive integer factors of 39396 that divides 39382 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 67, 84, 98, 134, 147, 196, 201, 268, 294, 402, 469, 588, 804, 938, 1407, 1876, 2814, 3283, 5628, 6566, 9849, 13132, 19698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39382 and 39396. The biggest common factor number is the GCF number.
So the greatest common factor 39382 and 39396 is 14.

Also check out the Least Common Multiple of 39382 and 39396