What is the Greatest Common Factor of 82756 and 82773?

Greatest common factor (GCF) of 82756 and 82773 is 17.

GCF(82756,82773) = 17

We will now calculate the prime factors of 82756 and 82773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82756 and 82773.

How to find the GCF of 82756 and 82773?

We will first find the prime factorization of 82756 and 82773. After we will calculate the factors of 82756 and 82773 and find the biggest common factor number .

Step-1: Prime Factorization of 82756

Prime factors of 82756 are 2, 17, 1217. Prime factorization of 82756 in exponential form is:

82756 = 2² × 17¹ × 1217¹

Step-2: Prime Factorization of 82773

Prime factors of 82773 are 3, 17, 541. Prime factorization of 82773 in exponential form is:

82773 = 3² × 17¹ × 541¹

Step-3: Factors of 82756

List of positive integer factors of 82756 that divides 82756 without a remainder.

1, 2, 4, 17, 34, 68, 1217, 2434, 4868, 20689, 41378

Step-4: Factors of 82773

List of positive integer factors of 82773 that divides 82756 without a remainder.

1, 3, 9, 17, 51, 153, 541, 1623, 4869, 9197, 27591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82756 and 82773. The biggest common factor number is the GCF number.
So the greatest common factor 82756 and 82773 is 17.

Also check out the Least Common Multiple of 82756 and 82773