What is the Greatest Common Factor of 20768 and 20777?

Greatest common factor (GCF) of 20768 and 20777 is 1.

GCF(20768,20777) = 1

We will now calculate the prime factors of 20768 and 20777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20768 and 20777.

How to find the GCF of 20768 and 20777?

We will first find the prime factorization of 20768 and 20777. After we will calculate the factors of 20768 and 20777 and find the biggest common factor number .

Step-1: Prime Factorization of 20768

Prime factors of 20768 are 2, 11, 59. Prime factorization of 20768 in exponential form is:

20768 = 2⁵ × 11¹ × 59¹

Step-2: Prime Factorization of 20777

Prime factors of 20777 are 79, 263. Prime factorization of 20777 in exponential form is:

20777 = 79¹ × 263¹

Step-3: Factors of 20768

List of positive integer factors of 20768 that divides 20768 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 88, 118, 176, 236, 352, 472, 649, 944, 1298, 1888, 2596, 5192, 10384

Step-4: Factors of 20777

List of positive integer factors of 20777 that divides 20768 without a remainder.

1, 79, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20768 and 20777. The biggest common factor number is the GCF number.
So the greatest common factor 20768 and 20777 is 1.

Also check out the Least Common Multiple of 20768 and 20777