What is the Greatest Common Factor of 82077 and 82095?

Greatest common factor (GCF) of 82077 and 82095 is 3.

GCF(82077,82095) = 3

We will now calculate the prime factors of 82077 and 82095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82077 and 82095.

How to find the GCF of 82077 and 82095?

We will first find the prime factorization of 82077 and 82095. After we will calculate the factors of 82077 and 82095 and find the biggest common factor number .

Step-1: Prime Factorization of 82077

Prime factors of 82077 are 3, 109, 251. Prime factorization of 82077 in exponential form is:

82077 = 3¹ × 109¹ × 251¹

Step-2: Prime Factorization of 82095

Prime factors of 82095 are 3, 5, 13, 421. Prime factorization of 82095 in exponential form is:

82095 = 3¹ × 5¹ × 13¹ × 421¹

Step-3: Factors of 82077

List of positive integer factors of 82077 that divides 82077 without a remainder.

1, 3, 109, 251, 327, 753, 27359

Step-4: Factors of 82095

List of positive integer factors of 82095 that divides 82077 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 421, 1263, 2105, 5473, 6315, 16419, 27365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82077 and 82095. The biggest common factor number is the GCF number.
So the greatest common factor 82077 and 82095 is 3.

Also check out the Least Common Multiple of 82077 and 82095