What is the Greatest Common Factor of 39039 and 39048?

Greatest common factor (GCF) of 39039 and 39048 is 3.

GCF(39039,39048) = 3

We will now calculate the prime factors of 39039 and 39048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39039 and 39048.

How to find the GCF of 39039 and 39048?

We will first find the prime factorization of 39039 and 39048. After we will calculate the factors of 39039 and 39048 and find the biggest common factor number .

Step-1: Prime Factorization of 39039

Prime factors of 39039 are 3, 7, 11, 13. Prime factorization of 39039 in exponential form is:

39039 = 3¹ × 7¹ × 11¹ × 13²

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 39039

List of positive integer factors of 39039 that divides 39039 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 169, 231, 273, 429, 507, 1001, 1183, 1859, 3003, 3549, 5577, 13013

Step-4: Factors of 39048

List of positive integer factors of 39048 that divides 39039 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 39039 and 39048. The biggest common factor number is the GCF number.
So the greatest common factor 39039 and 39048 is 3.

Also check out the Least Common Multiple of 39039 and 39048