What is the Greatest Common Factor of 10780 and 10794?

Greatest common factor (GCF) of 10780 and 10794 is 14.

GCF(10780,10794) = 14

We will now calculate the prime factors of 10780 and 10794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10780 and 10794.

How to find the GCF of 10780 and 10794?

We will first find the prime factorization of 10780 and 10794. After we will calculate the factors of 10780 and 10794 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 10794

Prime factors of 10794 are 2, 3, 7, 257. Prime factorization of 10794 in exponential form is:

10794 = 2¹ × 3¹ × 7¹ × 257¹

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 10794

List of positive integer factors of 10794 that divides 10780 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 257, 514, 771, 1542, 1799, 3598, 5397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10780 and 10794. The biggest common factor number is the GCF number.
So the greatest common factor 10780 and 10794 is 14.

Also check out the Least Common Multiple of 10780 and 10794