What is the Greatest Common Factor of 11009 and 11020?

Greatest common factor (GCF) of 11009 and 11020 is 1.

GCF(11009,11020) = 1

We will now calculate the prime factors of 11009 and 11020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11009 and 11020.

How to find the GCF of 11009 and 11020?

We will first find the prime factorization of 11009 and 11020. After we will calculate the factors of 11009 and 11020 and find the biggest common factor number .

Step-1: Prime Factorization of 11009

Prime factors of 11009 are 101, 109. Prime factorization of 11009 in exponential form is:

11009 = 101¹ × 109¹

Step-2: Prime Factorization of 11020

Prime factors of 11020 are 2, 5, 19, 29. Prime factorization of 11020 in exponential form is:

11020 = 2² × 5¹ × 19¹ × 29¹

Step-3: Factors of 11009

List of positive integer factors of 11009 that divides 11009 without a remainder.

1, 101, 109

Step-4: Factors of 11020

List of positive integer factors of 11020 that divides 11009 without a remainder.

1, 2, 4, 5, 10, 19, 20, 29, 38, 58, 76, 95, 116, 145, 190, 290, 380, 551, 580, 1102, 2204, 2755, 5510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11009 and 11020. The biggest common factor number is the GCF number.
So the greatest common factor 11009 and 11020 is 1.

Also check out the Least Common Multiple of 11009 and 11020