What is the Greatest Common Factor of 32025 and 32030?

Greatest common factor (GCF) of 32025 and 32030 is 5.

GCF(32025,32030) = 5

We will now calculate the prime factors of 32025 and 32030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32025 and 32030.

How to find the GCF of 32025 and 32030?

We will first find the prime factorization of 32025 and 32030. After we will calculate the factors of 32025 and 32030 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 32030

Prime factors of 32030 are 2, 5, 3203. Prime factorization of 32030 in exponential form is:

32030 = 2¹ × 5¹ × 3203¹

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 32030

List of positive integer factors of 32030 that divides 32025 without a remainder.

1, 2, 5, 10, 3203, 6406, 16015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32025 and 32030. The biggest common factor number is the GCF number.
So the greatest common factor 32025 and 32030 is 5.

Also check out the Least Common Multiple of 32025 and 32030