What is the Greatest Common Factor of 39304 and 39324?

Greatest common factor (GCF) of 39304 and 39324 is 4.

GCF(39304,39324) = 4

We will now calculate the prime factors of 39304 and 39324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39304 and 39324.

How to find the GCF of 39304 and 39324?

We will first find the prime factorization of 39304 and 39324. After we will calculate the factors of 39304 and 39324 and find the biggest common factor number .

Step-1: Prime Factorization of 39304

Prime factors of 39304 are 2, 17. Prime factorization of 39304 in exponential form is:

39304 = 2³ × 17³

Step-2: Prime Factorization of 39324

Prime factors of 39324 are 2, 3, 29, 113. Prime factorization of 39324 in exponential form is:

39324 = 2² × 3¹ × 29¹ × 113¹

Step-3: Factors of 39304

List of positive integer factors of 39304 that divides 39304 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312, 4913, 9826, 19652

Step-4: Factors of 39324

List of positive integer factors of 39324 that divides 39304 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 113, 116, 174, 226, 339, 348, 452, 678, 1356, 3277, 6554, 9831, 13108, 19662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39304 and 39324. The biggest common factor number is the GCF number.
So the greatest common factor 39304 and 39324 is 4.

Also check out the Least Common Multiple of 39304 and 39324