What is the Greatest Common Factor of 39025 and 39039?

Greatest common factor (GCF) of 39025 and 39039 is 7.

GCF(39025,39039) = 7

We will now calculate the prime factors of 39025 and 39039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39025 and 39039.

How to find the GCF of 39025 and 39039?

We will first find the prime factorization of 39025 and 39039. After we will calculate the factors of 39025 and 39039 and find the biggest common factor number .

Step-1: Prime Factorization of 39025

Prime factors of 39025 are 5, 7, 223. Prime factorization of 39025 in exponential form is:

39025 = 5² × 7¹ × 223¹

Step-2: 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-3: Factors of 39025

List of positive integer factors of 39025 that divides 39025 without a remainder.

1, 5, 7, 25, 35, 175, 223, 1115, 1561, 5575, 7805

Step-4: Factors of 39039

List of positive integer factors of 39039 that divides 39025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39025 and 39039. The biggest common factor number is the GCF number.
So the greatest common factor 39025 and 39039 is 7.

Also check out the Least Common Multiple of 39025 and 39039