What is the Greatest Common Factor of 82766 and 82772?

Greatest common factor (GCF) of 82766 and 82772 is 2.

GCF(82766,82772) = 2

We will now calculate the prime factors of 82766 and 82772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82766 and 82772.

How to find the GCF of 82766 and 82772?

We will first find the prime factorization of 82766 and 82772. After we will calculate the factors of 82766 and 82772 and find the biggest common factor number .

Step-1: Prime Factorization of 82766

Prime factors of 82766 are 2, 29, 1427. Prime factorization of 82766 in exponential form is:

82766 = 2¹ × 29¹ × 1427¹

Step-2: Prime Factorization of 82772

Prime factors of 82772 are 2, 20693. Prime factorization of 82772 in exponential form is:

82772 = 2² × 20693¹

Step-3: Factors of 82766

List of positive integer factors of 82766 that divides 82766 without a remainder.

1, 2, 29, 58, 1427, 2854, 41383

Step-4: Factors of 82772

List of positive integer factors of 82772 that divides 82766 without a remainder.

1, 2, 4, 20693, 41386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82766 and 82772. The biggest common factor number is the GCF number.
So the greatest common factor 82766 and 82772 is 2.

Also check out the Least Common Multiple of 82766 and 82772