What is the Greatest Common Factor of 10780 and 10784?

Greatest common factor (GCF) of 10780 and 10784 is 4.

GCF(10780,10784) = 4

We will now calculate the prime factors of 10780 and 10784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10780 and 10784.

How to find the GCF of 10780 and 10784?

We will first find the prime factorization of 10780 and 10784. After we will calculate the factors of 10780 and 10784 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 10784

Prime factors of 10784 are 2, 337. Prime factorization of 10784 in exponential form is:

10784 = 2⁵ × 337¹

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 10784

List of positive integer factors of 10784 that divides 10780 without a remainder.

1, 2, 4, 8, 16, 32, 337, 674, 1348, 2696, 5392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10780 and 10784. The biggest common factor number is the GCF number.
So the greatest common factor 10780 and 10784 is 4.

Also check out the Least Common Multiple of 10780 and 10784