GCF and LCM Calculator Logo

What is the Greatest Common Factor of 10777 and 10796?

Greatest common factor (GCF) of 10777 and 10796 is 1.

GCF(10777,10796) = 1

We will now calculate the prime factors of 10777 and 10796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10777 and 10796.

GCF Calculator and
and

How to find the GCF of 10777 and 10796?

We will first find the prime factorization of 10777 and 10796. After we will calculate the factors of 10777 and 10796 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 10796

Prime factors of 10796 are 2, 2699. Prime factorization of 10796 in exponential form is:

10796 = 22 × 26991

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 10796

List of positive integer factors of 10796 that divides 10777 without a remainder.

1, 2, 4, 2699, 5398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10777 and 10796. The biggest common factor number is the GCF number.
So the greatest common factor 10777 and 10796 is 1.

Also check out the Least Common Multiple of 10777 and 10796