What is the Greatest Common Factor of 39008 and 39024?

Greatest common factor (GCF) of 39008 and 39024 is 16.

GCF(39008,39024) = 16

We will now calculate the prime factors of 39008 and 39024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39008 and 39024.

How to find the GCF of 39008 and 39024?

We will first find the prime factorization of 39008 and 39024. After we will calculate the factors of 39008 and 39024 and find the biggest common factor number .

Step-1: Prime Factorization of 39008

Prime factors of 39008 are 2, 23, 53. Prime factorization of 39008 in exponential form is:

39008 = 2⁵ × 23¹ × 53¹

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 39008

List of positive integer factors of 39008 that divides 39008 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504

Step-4: Factors of 39024

List of positive integer factors of 39024 that divides 39008 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 39008 and 39024. The biggest common factor number is the GCF number.
So the greatest common factor 39008 and 39024 is 16.

Also check out the Least Common Multiple of 39008 and 39024