What is the Greatest Common Factor of 39396 and 39414?

Greatest common factor (GCF) of 39396 and 39414 is 6.

GCF(39396,39414) = 6

We will now calculate the prime factors of 39396 and 39414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39396 and 39414.

How to find the GCF of 39396 and 39414?

We will first find the prime factorization of 39396 and 39414. After we will calculate the factors of 39396 and 39414 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 39414

Prime factors of 39414 are 2, 3, 6569. Prime factorization of 39414 in exponential form is:

39414 = 2¹ × 3¹ × 6569¹

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 39414

List of positive integer factors of 39414 that divides 39396 without a remainder.

1, 2, 3, 6, 6569, 13138, 19707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39396 and 39414. The biggest common factor number is the GCF number.
So the greatest common factor 39396 and 39414 is 6.

Also check out the Least Common Multiple of 39396 and 39414