What is the Greatest Common Factor of 10780 and 10789?

Greatest common factor (GCF) of 10780 and 10789 is 1.

GCF(10780,10789) = 1

We will now calculate the prime factors of 10780 and 10789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10780 and 10789.

How to find the GCF of 10780 and 10789?

We will first find the prime factorization of 10780 and 10789. After we will calculate the factors of 10780 and 10789 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 10789

Prime factors of 10789 are 10789. Prime factorization of 10789 in exponential form is:

10789 = 10789¹

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 10789

List of positive integer factors of 10789 that divides 10780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10780 and 10789. The biggest common factor number is the GCF number.
So the greatest common factor 10780 and 10789 is 1.

Also check out the Least Common Multiple of 10780 and 10789