What is the Greatest Common Factor of 39039 and 39052?

Greatest common factor (GCF) of 39039 and 39052 is 13.

GCF(39039,39052) = 13

We will now calculate the prime factors of 39039 and 39052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39039 and 39052.

How to find the GCF of 39039 and 39052?

We will first find the prime factorization of 39039 and 39052. After we will calculate the factors of 39039 and 39052 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 39052

Prime factors of 39052 are 2, 13, 751. Prime factorization of 39052 in exponential form is:

39052 = 2² × 13¹ × 751¹

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 39052

List of positive integer factors of 39052 that divides 39039 without a remainder.

1, 2, 4, 13, 26, 52, 751, 1502, 3004, 9763, 19526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39039 and 39052. The biggest common factor number is the GCF number.
So the greatest common factor 39039 and 39052 is 13.

Also check out the Least Common Multiple of 39039 and 39052