What is the Greatest Common Factor of 39024 and 39038?

Greatest common factor (GCF) of 39024 and 39038 is 2.

GCF(39024,39038) = 2

We will now calculate the prime factors of 39024 and 39038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39024 and 39038.

How to find the GCF of 39024 and 39038?

We will first find the prime factorization of 39024 and 39038. After we will calculate the factors of 39024 and 39038 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 39038

Prime factors of 39038 are 2, 131, 149. Prime factorization of 39038 in exponential form is:

39038 = 2¹ × 131¹ × 149¹

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 39038

List of positive integer factors of 39038 that divides 39024 without a remainder.

1, 2, 131, 149, 262, 298, 19519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39024 and 39038. The biggest common factor number is the GCF number.
So the greatest common factor 39024 and 39038 is 2.

Also check out the Least Common Multiple of 39024 and 39038