What is the Greatest Common Factor of 10768 and 10782?

Greatest common factor (GCF) of 10768 and 10782 is 2.

GCF(10768,10782) = 2

We will now calculate the prime factors of 10768 and 10782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10768 and 10782.

How to find the GCF of 10768 and 10782?

We will first find the prime factorization of 10768 and 10782. After we will calculate the factors of 10768 and 10782 and find the biggest common factor number .

Step-1: Prime Factorization of 10768

Prime factors of 10768 are 2, 673. Prime factorization of 10768 in exponential form is:

10768 = 2⁴ × 673¹

Step-2: Prime Factorization of 10782

Prime factors of 10782 are 2, 3, 599. Prime factorization of 10782 in exponential form is:

10782 = 2¹ × 3² × 599¹

Step-3: Factors of 10768

List of positive integer factors of 10768 that divides 10768 without a remainder.

1, 2, 4, 8, 16, 673, 1346, 2692, 5384

Step-4: Factors of 10782

List of positive integer factors of 10782 that divides 10768 without a remainder.

1, 2, 3, 6, 9, 18, 599, 1198, 1797, 3594, 5391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10768 and 10782. The biggest common factor number is the GCF number.
So the greatest common factor 10768 and 10782 is 2.

Also check out the Least Common Multiple of 10768 and 10782