What is the Greatest Common Factor of 39024 and 39033?

Greatest common factor (GCF) of 39024 and 39033 is 9.

GCF(39024,39033) = 9

We will now calculate the prime factors of 39024 and 39033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39024 and 39033.

How to find the GCF of 39024 and 39033?

We will first find the prime factorization of 39024 and 39033. After we will calculate the factors of 39024 and 39033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39033

Prime factors of 39033 are 3, 4337. Prime factorization of 39033 in exponential form is:

39033 = 3² × 4337¹

Step-3: Factors of 39024

List of positive integer factors of 39024 that divides 39024 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

Step-4: Factors of 39033

List of positive integer factors of 39033 that divides 39024 without a remainder.

1, 3, 9, 4337, 13011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39024 and 39033. The biggest common factor number is the GCF number.
So the greatest common factor 39024 and 39033 is 9.

Also check out the Least Common Multiple of 39024 and 39033