What is the Greatest Common Factor of 82025 and 82042?

Greatest common factor (GCF) of 82025 and 82042 is 17.

GCF(82025,82042) = 17

We will now calculate the prime factors of 82025 and 82042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82025 and 82042.

How to find the GCF of 82025 and 82042?

We will first find the prime factorization of 82025 and 82042. After we will calculate the factors of 82025 and 82042 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 82042

Prime factors of 82042 are 2, 17, 19, 127. Prime factorization of 82042 in exponential form is:

82042 = 2¹ × 17¹ × 19¹ × 127¹

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 82042

List of positive integer factors of 82042 that divides 82025 without a remainder.

1, 2, 17, 19, 34, 38, 127, 254, 323, 646, 2159, 2413, 4318, 4826, 41021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82025 and 82042. The biggest common factor number is the GCF number.
So the greatest common factor 82025 and 82042 is 17.

Also check out the Least Common Multiple of 82025 and 82042