What is the Greatest Common Factor of 39396 and 39409?

Greatest common factor (GCF) of 39396 and 39409 is 1.

GCF(39396,39409) = 1

We will now calculate the prime factors of 39396 and 39409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39396 and 39409.

How to find the GCF of 39396 and 39409?

We will first find the prime factorization of 39396 and 39409. After we will calculate the factors of 39396 and 39409 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 39409

Prime factors of 39409 are 39409. Prime factorization of 39409 in exponential form is:

39409 = 39409¹

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 39409

List of positive integer factors of 39409 that divides 39396 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39396 and 39409. The biggest common factor number is the GCF number.
So the greatest common factor 39396 and 39409 is 1.

Also check out the Least Common Multiple of 39396 and 39409