What is the Greatest Common Factor of 82768 and 82779?

Greatest common factor (GCF) of 82768 and 82779 is 1.

GCF(82768,82779) = 1

We will now calculate the prime factors of 82768 and 82779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82768 and 82779.

How to find the GCF of 82768 and 82779?

We will first find the prime factorization of 82768 and 82779. After we will calculate the factors of 82768 and 82779 and find the biggest common factor number .

Step-1: Prime Factorization of 82768

Prime factors of 82768 are 2, 7, 739. Prime factorization of 82768 in exponential form is:

82768 = 2⁴ × 7¹ × 739¹

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 82768

List of positive integer factors of 82768 that divides 82768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 739, 1478, 2956, 5173, 5912, 10346, 11824, 20692, 41384

Step-4: Factors of 82779

List of positive integer factors of 82779 that divides 82768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82768 and 82779. The biggest common factor number is the GCF number.
So the greatest common factor 82768 and 82779 is 1.

Also check out the Least Common Multiple of 82768 and 82779