What is the Greatest Common Factor of 82773 and 82779?

Greatest common factor (GCF) of 82773 and 82779 is 3.

GCF(82773,82779) = 3

We will now calculate the prime factors of 82773 and 82779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82773 and 82779.

How to find the GCF of 82773 and 82779?

We will first find the prime factorization of 82773 and 82779. After we will calculate the factors of 82773 and 82779 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82779

Prime factors of 82779 are 3, 41, 673. Prime factorization of 82779 in exponential form is:

82779 = 3¹ × 41¹ × 673¹

Step-3: Factors of 82773

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

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

Step-4: Factors of 82779

List of positive integer factors of 82779 that divides 82773 without a remainder.

1, 3, 41, 123, 673, 2019, 27593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82773 and 82779. The biggest common factor number is the GCF number.
So the greatest common factor 82773 and 82779 is 3.

Also check out the Least Common Multiple of 82773 and 82779