What is the Greatest Common Factor of 32025 and 32039?

Greatest common factor (GCF) of 32025 and 32039 is 7.

GCF(32025,32039) = 7

We will now calculate the prime factors of 32025 and 32039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32025 and 32039.

How to find the GCF of 32025 and 32039?

We will first find the prime factorization of 32025 and 32039. After we will calculate the factors of 32025 and 32039 and find the biggest common factor number .

Step-1: Prime Factorization of 32025

Prime factors of 32025 are 3, 5, 7, 61. Prime factorization of 32025 in exponential form is:

32025 = 3¹ × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 32039

Prime factors of 32039 are 7, 23, 199. Prime factorization of 32039 in exponential form is:

32039 = 7¹ × 23¹ × 199¹

Step-3: Factors of 32025

List of positive integer factors of 32025 that divides 32025 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 61, 75, 105, 175, 183, 305, 427, 525, 915, 1281, 1525, 2135, 4575, 6405, 10675

Step-4: Factors of 32039

List of positive integer factors of 32039 that divides 32025 without a remainder.

1, 7, 23, 161, 199, 1393, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32025 and 32039. The biggest common factor number is the GCF number.
So the greatest common factor 32025 and 32039 is 7.

Also check out the Least Common Multiple of 32025 and 32039