What is the Greatest Common Factor of 32025 and 32037?

Greatest common factor (GCF) of 32025 and 32037 is 3.

GCF(32025,32037) = 3

We will now calculate the prime factors of 32025 and 32037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32025 and 32037.

How to find the GCF of 32025 and 32037?

We will first find the prime factorization of 32025 and 32037. After we will calculate the factors of 32025 and 32037 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 32037

Prime factors of 32037 are 3, 59, 181. Prime factorization of 32037 in exponential form is:

32037 = 3¹ × 59¹ × 181¹

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 32037

List of positive integer factors of 32037 that divides 32025 without a remainder.

1, 3, 59, 177, 181, 543, 10679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32025 and 32037. The biggest common factor number is the GCF number.
So the greatest common factor 32025 and 32037 is 3.

Also check out the Least Common Multiple of 32025 and 32037