What is the Greatest Common Factor of 10963 and 10982?

Greatest common factor (GCF) of 10963 and 10982 is 19.

GCF(10963,10982) = 19

We will now calculate the prime factors of 10963 and 10982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10963 and 10982.

How to find the GCF of 10963 and 10982?

We will first find the prime factorization of 10963 and 10982. After we will calculate the factors of 10963 and 10982 and find the biggest common factor number .

Step-1: Prime Factorization of 10963

Prime factors of 10963 are 19, 577. Prime factorization of 10963 in exponential form is:

10963 = 19¹ × 577¹

Step-2: Prime Factorization of 10982

Prime factors of 10982 are 2, 17, 19. Prime factorization of 10982 in exponential form is:

10982 = 2¹ × 17² × 19¹

Step-3: Factors of 10963

List of positive integer factors of 10963 that divides 10963 without a remainder.

1, 19, 577

Step-4: Factors of 10982

List of positive integer factors of 10982 that divides 10963 without a remainder.

1, 2, 17, 19, 34, 38, 289, 323, 578, 646, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10963 and 10982. The biggest common factor number is the GCF number.
So the greatest common factor 10963 and 10982 is 19.

Also check out the Least Common Multiple of 10963 and 10982