What is the Greatest Common Factor of 39004 and 39024?

Greatest common factor (GCF) of 39004 and 39024 is 4.

GCF(39004,39024) = 4

We will now calculate the prime factors of 39004 and 39024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39004 and 39024.

How to find the GCF of 39004 and 39024?

We will first find the prime factorization of 39004 and 39024. After we will calculate the factors of 39004 and 39024 and find the biggest common factor number .

Step-1: Prime Factorization of 39004

Prime factors of 39004 are 2, 7, 199. Prime factorization of 39004 in exponential form is:

39004 = 2² × 7² × 199¹

Step-2: Prime Factorization of 39024

Prime factors of 39024 are 2, 3, 271. Prime factorization of 39024 in exponential form is:

39024 = 2⁴ × 3² × 271¹

Step-3: Factors of 39004

List of positive integer factors of 39004 that divides 39004 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751, 19502

Step-4: Factors of 39024

List of positive integer factors of 39024 that divides 39004 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 9756, 13008, 19512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39004 and 39024. The biggest common factor number is the GCF number.
So the greatest common factor 39004 and 39024 is 4.

Also check out the Least Common Multiple of 39004 and 39024