What is the Greatest Common Factor of 39396 and 39408?

Greatest common factor (GCF) of 39396 and 39408 is 12.

GCF(39396,39408) = 12

We will now calculate the prime factors of 39396 and 39408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39396 and 39408.

How to find the GCF of 39396 and 39408?

We will first find the prime factorization of 39396 and 39408. After we will calculate the factors of 39396 and 39408 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39408

Prime factors of 39408 are 2, 3, 821. Prime factorization of 39408 in exponential form is:

39408 = 2⁴ × 3¹ × 821¹

Step-3: Factors of 39396

List of positive integer factors of 39396 that divides 39396 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

Step-4: Factors of 39408

List of positive integer factors of 39408 that divides 39396 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39396 and 39408. The biggest common factor number is the GCF number.
So the greatest common factor 39396 and 39408 is 12.

Also check out the Least Common Multiple of 39396 and 39408