What is the Greatest Common Factor of 10777 and 10788?

Greatest common factor (GCF) of 10777 and 10788 is 1.

GCF(10777,10788) = 1

We will now calculate the prime factors of 10777 and 10788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10777 and 10788.

How to find the GCF of 10777 and 10788?

We will first find the prime factorization of 10777 and 10788. After we will calculate the factors of 10777 and 10788 and find the biggest common factor number .

Step-1: Prime Factorization of 10777

Prime factors of 10777 are 13, 829. Prime factorization of 10777 in exponential form is:

10777 = 13¹ × 829¹

Step-2: Prime Factorization of 10788

Prime factors of 10788 are 2, 3, 29, 31. Prime factorization of 10788 in exponential form is:

10788 = 2² × 3¹ × 29¹ × 31¹

Step-3: Factors of 10777

List of positive integer factors of 10777 that divides 10777 without a remainder.

1, 13, 829

Step-4: Factors of 10788

List of positive integer factors of 10788 that divides 10777 without a remainder.

1, 2, 3, 4, 6, 12, 29, 31, 58, 62, 87, 93, 116, 124, 174, 186, 348, 372, 899, 1798, 2697, 3596, 5394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10777 and 10788. The biggest common factor number is the GCF number.
So the greatest common factor 10777 and 10788 is 1.

Also check out the Least Common Multiple of 10777 and 10788