What is the Greatest Common Factor of 39039 and 39051?

Greatest common factor (GCF) of 39039 and 39051 is 3.

GCF(39039,39051) = 3

We will now calculate the prime factors of 39039 and 39051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39039 and 39051.

How to find the GCF of 39039 and 39051?

We will first find the prime factorization of 39039 and 39051. After we will calculate the factors of 39039 and 39051 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 39051

Prime factors of 39051 are 3, 4339. Prime factorization of 39051 in exponential form is:

39051 = 3² × 4339¹

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 39051

List of positive integer factors of 39051 that divides 39039 without a remainder.

1, 3, 9, 4339, 13017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39039 and 39051. The biggest common factor number is the GCF number.
So the greatest common factor 39039 and 39051 is 3.

Also check out the Least Common Multiple of 39039 and 39051