What is the Greatest Common Factor of 39024 and 39034?

Greatest common factor (GCF) of 39024 and 39034 is 2.

GCF(39024,39034) = 2

We will now calculate the prime factors of 39024 and 39034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39024 and 39034.

How to find the GCF of 39024 and 39034?

We will first find the prime factorization of 39024 and 39034. After we will calculate the factors of 39024 and 39034 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 39034

Prime factors of 39034 are 2, 29, 673. Prime factorization of 39034 in exponential form is:

39034 = 2¹ × 29¹ × 673¹

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 39034

List of positive integer factors of 39034 that divides 39024 without a remainder.

1, 2, 29, 58, 673, 1346, 19517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39024 and 39034. The biggest common factor number is the GCF number.
So the greatest common factor 39024 and 39034 is 2.

Also check out the Least Common Multiple of 39024 and 39034