What is the Greatest Common Factor of 82025 and 82030?

Greatest common factor (GCF) of 82025 and 82030 is 5.

GCF(82025,82030) = 5

We will now calculate the prime factors of 82025 and 82030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82025 and 82030.

How to find the GCF of 82025 and 82030?

We will first find the prime factorization of 82025 and 82030. After we will calculate the factors of 82025 and 82030 and find the biggest common factor number .

Step-1: Prime Factorization of 82025

Prime factors of 82025 are 5, 17, 193. Prime factorization of 82025 in exponential form is:

82025 = 5² × 17¹ × 193¹

Step-2: Prime Factorization of 82030

Prime factors of 82030 are 2, 5, 13, 631. Prime factorization of 82030 in exponential form is:

82030 = 2¹ × 5¹ × 13¹ × 631¹

Step-3: Factors of 82025

List of positive integer factors of 82025 that divides 82025 without a remainder.

1, 5, 17, 25, 85, 193, 425, 965, 3281, 4825, 16405

Step-4: Factors of 82030

List of positive integer factors of 82030 that divides 82025 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 631, 1262, 3155, 6310, 8203, 16406, 41015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82025 and 82030. The biggest common factor number is the GCF number.
So the greatest common factor 82025 and 82030 is 5.

Also check out the Least Common Multiple of 82025 and 82030