What is the Greatest Common Factor of 82077 and 82083?

Greatest common factor (GCF) of 82077 and 82083 is 3.

GCF(82077,82083) = 3

We will now calculate the prime factors of 82077 and 82083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82077 and 82083.

How to find the GCF of 82077 and 82083?

We will first find the prime factorization of 82077 and 82083. After we will calculate the factors of 82077 and 82083 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 82083

Prime factors of 82083 are 3, 27361. Prime factorization of 82083 in exponential form is:

82083 = 3¹ × 27361¹

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 82083

List of positive integer factors of 82083 that divides 82077 without a remainder.

1, 3, 27361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82077 and 82083. The biggest common factor number is the GCF number.
So the greatest common factor 82077 and 82083 is 3.

Also check out the Least Common Multiple of 82077 and 82083