What is the Greatest Common Factor of 10784 and 10802?

Greatest common factor (GCF) of 10784 and 10802 is 2.

GCF(10784,10802) = 2

We will now calculate the prime factors of 10784 and 10802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10784 and 10802.

How to find the GCF of 10784 and 10802?

We will first find the prime factorization of 10784 and 10802. After we will calculate the factors of 10784 and 10802 and find the biggest common factor number .

Step-1: Prime Factorization of 10784

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

10784 = 2⁵ × 337¹

Step-2: Prime Factorization of 10802

Prime factors of 10802 are 2, 11, 491. Prime factorization of 10802 in exponential form is:

10802 = 2¹ × 11¹ × 491¹

Step-3: Factors of 10784

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

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

Step-4: Factors of 10802

List of positive integer factors of 10802 that divides 10784 without a remainder.

1, 2, 11, 22, 491, 982, 5401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10784 and 10802. The biggest common factor number is the GCF number.
So the greatest common factor 10784 and 10802 is 2.

Also check out the Least Common Multiple of 10784 and 10802