What is the Greatest Common Factor of 82758 and 82771?

Greatest common factor (GCF) of 82758 and 82771 is 13.

GCF(82758,82771) = 13

We will now calculate the prime factors of 82758 and 82771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82758 and 82771.

How to find the GCF of 82758 and 82771?

We will first find the prime factorization of 82758 and 82771. After we will calculate the factors of 82758 and 82771 and find the biggest common factor number .

Step-1: Prime Factorization of 82758

Prime factors of 82758 are 2, 3, 13, 1061. Prime factorization of 82758 in exponential form is:

82758 = 2¹ × 3¹ × 13¹ × 1061¹

Step-2: Prime Factorization of 82771

Prime factors of 82771 are 13, 6367. Prime factorization of 82771 in exponential form is:

82771 = 13¹ × 6367¹

Step-3: Factors of 82758

List of positive integer factors of 82758 that divides 82758 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1061, 2122, 3183, 6366, 13793, 27586, 41379

Step-4: Factors of 82771

List of positive integer factors of 82771 that divides 82758 without a remainder.

1, 13, 6367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82758 and 82771. The biggest common factor number is the GCF number.
So the greatest common factor 82758 and 82771 is 13.

Also check out the Least Common Multiple of 82758 and 82771