What is the Greatest Common Factor of 39024 and 39042?

Greatest common factor (GCF) of 39024 and 39042 is 18.

GCF(39024,39042) = 18

We will now calculate the prime factors of 39024 and 39042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39024 and 39042.

How to find the GCF of 39024 and 39042?

We will first find the prime factorization of 39024 and 39042. After we will calculate the factors of 39024 and 39042 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 39042

Prime factors of 39042 are 2, 3, 241. Prime factorization of 39042 in exponential form is:

39042 = 2¹ × 3⁴ × 241¹

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 39042

List of positive integer factors of 39042 that divides 39024 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 241, 482, 723, 1446, 2169, 4338, 6507, 13014, 19521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39024 and 39042. The biggest common factor number is the GCF number.
So the greatest common factor 39024 and 39042 is 18.

Also check out the Least Common Multiple of 39024 and 39042