What is the Greatest Common Factor of 10764 and 10777?

Greatest common factor (GCF) of 10764 and 10777 is 13.

GCF(10764,10777) = 13

We will now calculate the prime factors of 10764 and 10777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10764 and 10777.

How to find the GCF of 10764 and 10777?

We will first find the prime factorization of 10764 and 10777. After we will calculate the factors of 10764 and 10777 and find the biggest common factor number .

Step-1: Prime Factorization of 10764

Prime factors of 10764 are 2, 3, 13, 23. Prime factorization of 10764 in exponential form is:

10764 = 2² × 3² × 13¹ × 23¹

Step-2: Prime Factorization of 10777

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

10777 = 13¹ × 829¹

Step-3: Factors of 10764

List of positive integer factors of 10764 that divides 10764 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 36, 39, 46, 52, 69, 78, 92, 117, 138, 156, 207, 234, 276, 299, 414, 468, 598, 828, 897, 1196, 1794, 2691, 3588, 5382

Step-4: Factors of 10777

List of positive integer factors of 10777 that divides 10764 without a remainder.

1, 13, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10764 and 10777. The biggest common factor number is the GCF number.
So the greatest common factor 10764 and 10777 is 13.

Also check out the Least Common Multiple of 10764 and 10777