What is the Greatest Common Factor of 39084 and 39096?

Greatest common factor (GCF) of 39084 and 39096 is 12.

GCF(39084,39096) = 12

We will now calculate the prime factors of 39084 and 39096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39084 and 39096.

How to find the GCF of 39084 and 39096?

We will first find the prime factorization of 39084 and 39096. After we will calculate the factors of 39084 and 39096 and find the biggest common factor number .

Step-1: Prime Factorization of 39084

Prime factors of 39084 are 2, 3, 3257. Prime factorization of 39084 in exponential form is:

39084 = 2² × 3¹ × 3257¹

Step-2: Prime Factorization of 39096

Prime factors of 39096 are 2, 3, 181. Prime factorization of 39096 in exponential form is:

39096 = 2³ × 3³ × 181¹

Step-3: Factors of 39084

List of positive integer factors of 39084 that divides 39084 without a remainder.

1, 2, 3, 4, 6, 12, 3257, 6514, 9771, 13028, 19542

Step-4: Factors of 39096

List of positive integer factors of 39096 that divides 39084 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 181, 216, 362, 543, 724, 1086, 1448, 1629, 2172, 3258, 4344, 4887, 6516, 9774, 13032, 19548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39084 and 39096. The biggest common factor number is the GCF number.
So the greatest common factor 39084 and 39096 is 12.

Also check out the Least Common Multiple of 39084 and 39096