What is the Greatest Common Factor of 39006 and 39025?

Greatest common factor (GCF) of 39006 and 39025 is 1.

GCF(39006,39025) = 1

We will now calculate the prime factors of 39006 and 39025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39006 and 39025.

How to find the GCF of 39006 and 39025?

We will first find the prime factorization of 39006 and 39025. After we will calculate the factors of 39006 and 39025 and find the biggest common factor number .

Step-1: Prime Factorization of 39006

Prime factors of 39006 are 2, 3, 11, 197. Prime factorization of 39006 in exponential form is:

39006 = 2¹ × 3² × 11¹ × 197¹

Step-2: 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-3: Factors of 39006

List of positive integer factors of 39006 that divides 39006 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 197, 198, 394, 591, 1182, 1773, 2167, 3546, 4334, 6501, 13002, 19503

Step-4: Factors of 39025

List of positive integer factors of 39025 that divides 39006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39006 and 39025. The biggest common factor number is the GCF number.
So the greatest common factor 39006 and 39025 is 1.

Also check out the Least Common Multiple of 39006 and 39025