What is the Greatest Common Factor of 10780 and 10791?

Greatest common factor (GCF) of 10780 and 10791 is 11.

GCF(10780,10791) = 11

We will now calculate the prime factors of 10780 and 10791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10780 and 10791.

How to find the GCF of 10780 and 10791?

We will first find the prime factorization of 10780 and 10791. After we will calculate the factors of 10780 and 10791 and find the biggest common factor number .

Step-1: Prime Factorization of 10780

Prime factors of 10780 are 2, 5, 7, 11. Prime factorization of 10780 in exponential form is:

10780 = 2² × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 10791

Prime factors of 10791 are 3, 11, 109. Prime factorization of 10791 in exponential form is:

10791 = 3² × 11¹ × 109¹

Step-3: Factors of 10780

List of positive integer factors of 10780 that divides 10780 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 49, 55, 70, 77, 98, 110, 140, 154, 196, 220, 245, 308, 385, 490, 539, 770, 980, 1078, 1540, 2156, 2695, 5390

Step-4: Factors of 10791

List of positive integer factors of 10791 that divides 10780 without a remainder.

1, 3, 9, 11, 33, 99, 109, 327, 981, 1199, 3597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10780 and 10791. The biggest common factor number is the GCF number.
So the greatest common factor 10780 and 10791 is 11.

Also check out the Least Common Multiple of 10780 and 10791