What is the Greatest Common Factor of 39324 and 39332?

Greatest common factor (GCF) of 39324 and 39332 is 4.

GCF(39324,39332) = 4

We will now calculate the prime factors of 39324 and 39332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39324 and 39332.

How to find the GCF of 39324 and 39332?

We will first find the prime factorization of 39324 and 39332. After we will calculate the factors of 39324 and 39332 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39332

Prime factors of 39332 are 2, 9833. Prime factorization of 39332 in exponential form is:

39332 = 2² × 9833¹

Step-3: Factors of 39324

List of positive integer factors of 39324 that divides 39324 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

Step-4: Factors of 39332

List of positive integer factors of 39332 that divides 39324 without a remainder.

1, 2, 4, 9833, 19666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39324 and 39332. The biggest common factor number is the GCF number.
So the greatest common factor 39324 and 39332 is 4.

Also check out the Least Common Multiple of 39324 and 39332