What is the Greatest Common Factor of 39033 and 39048?

Greatest common factor (GCF) of 39033 and 39048 is 3.

GCF(39033,39048) = 3

We will now calculate the prime factors of 39033 and 39048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39033 and 39048.

How to find the GCF of 39033 and 39048?

We will first find the prime factorization of 39033 and 39048. After we will calculate the factors of 39033 and 39048 and find the biggest common factor number .

Step-1: Prime Factorization of 39033

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

39033 = 3² × 4337¹

Step-2: Prime Factorization of 39048

Prime factors of 39048 are 2, 3, 1627. Prime factorization of 39048 in exponential form is:

39048 = 2³ × 3¹ × 1627¹

Step-3: Factors of 39033

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

1, 3, 9, 4337, 13011

Step-4: Factors of 39048

List of positive integer factors of 39048 that divides 39033 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1627, 3254, 4881, 6508, 9762, 13016, 19524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39033 and 39048. The biggest common factor number is the GCF number.
So the greatest common factor 39033 and 39048 is 3.

Also check out the Least Common Multiple of 39033 and 39048