What is the Greatest Common Factor of 82025 and 82040?

Greatest common factor (GCF) of 82025 and 82040 is 5.

GCF(82025,82040) = 5

We will now calculate the prime factors of 82025 and 82040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82025 and 82040.

How to find the GCF of 82025 and 82040?

We will first find the prime factorization of 82025 and 82040. After we will calculate the factors of 82025 and 82040 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 82040

Prime factors of 82040 are 2, 5, 7, 293. Prime factorization of 82040 in exponential form is:

82040 = 2³ × 5¹ × 7¹ × 293¹

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 82040

List of positive integer factors of 82040 that divides 82025 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 293, 586, 1172, 1465, 2051, 2344, 2930, 4102, 5860, 8204, 10255, 11720, 16408, 20510, 41020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82025 and 82040. The biggest common factor number is the GCF number.
So the greatest common factor 82025 and 82040 is 5.

Also check out the Least Common Multiple of 82025 and 82040