What is the Greatest Common Factor of 10999 and 11017?

Greatest common factor (GCF) of 10999 and 11017 is 1.

GCF(10999,11017) = 1

We will now calculate the prime factors of 10999 and 11017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10999 and 11017.

How to find the GCF of 10999 and 11017?

We will first find the prime factorization of 10999 and 11017. After we will calculate the factors of 10999 and 11017 and find the biggest common factor number .

Step-1: Prime Factorization of 10999

Prime factors of 10999 are 17, 647. Prime factorization of 10999 in exponential form is:

10999 = 17¹ × 647¹

Step-2: Prime Factorization of 11017

Prime factors of 11017 are 23, 479. Prime factorization of 11017 in exponential form is:

11017 = 23¹ × 479¹

Step-3: Factors of 10999

List of positive integer factors of 10999 that divides 10999 without a remainder.

1, 17, 647

Step-4: Factors of 11017

List of positive integer factors of 11017 that divides 10999 without a remainder.

1, 23, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10999 and 11017. The biggest common factor number is the GCF number.
So the greatest common factor 10999 and 11017 is 1.

Also check out the Least Common Multiple of 10999 and 11017