What is the Greatest Common Factor of 82465 and 82475?

Greatest common factor (GCF) of 82465 and 82475 is 5.

GCF(82465,82475) = 5

We will now calculate the prime factors of 82465 and 82475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82465 and 82475.

How to find the GCF of 82465 and 82475?

We will first find the prime factorization of 82465 and 82475. After we will calculate the factors of 82465 and 82475 and find the biggest common factor number .

Step-1: Prime Factorization of 82465

Prime factors of 82465 are 5, 16493. Prime factorization of 82465 in exponential form is:

82465 = 5¹ × 16493¹

Step-2: Prime Factorization of 82475

Prime factors of 82475 are 5, 3299. Prime factorization of 82475 in exponential form is:

82475 = 5² × 3299¹

Step-3: Factors of 82465

List of positive integer factors of 82465 that divides 82465 without a remainder.

1, 5, 16493

Step-4: Factors of 82475

List of positive integer factors of 82475 that divides 82465 without a remainder.

1, 5, 25, 3299, 16495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82465 and 82475. The biggest common factor number is the GCF number.
So the greatest common factor 82465 and 82475 is 5.

Also check out the Least Common Multiple of 82465 and 82475