What is the Greatest Common Factor of 39025 and 39032?

Greatest common factor (GCF) of 39025 and 39032 is 7.

GCF(39025,39032) = 7

We will now calculate the prime factors of 39025 and 39032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39025 and 39032.

How to find the GCF of 39025 and 39032?

We will first find the prime factorization of 39025 and 39032. After we will calculate the factors of 39025 and 39032 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 39032

Prime factors of 39032 are 2, 7, 17, 41. Prime factorization of 39032 in exponential form is:

39032 = 2³ × 7¹ × 17¹ × 41¹

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 39032

List of positive integer factors of 39032 that divides 39025 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 41, 56, 68, 82, 119, 136, 164, 238, 287, 328, 476, 574, 697, 952, 1148, 1394, 2296, 2788, 4879, 5576, 9758, 19516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39025 and 39032. The biggest common factor number is the GCF number.
So the greatest common factor 39025 and 39032 is 7.

Also check out the Least Common Multiple of 39025 and 39032