What is the Greatest Common Factor of 11005 and 11023?

Greatest common factor (GCF) of 11005 and 11023 is 1.

GCF(11005,11023) = 1

We will now calculate the prime factors of 11005 and 11023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11005 and 11023.

How to find the GCF of 11005 and 11023?

We will first find the prime factorization of 11005 and 11023. After we will calculate the factors of 11005 and 11023 and find the biggest common factor number .

Step-1: Prime Factorization of 11005

Prime factors of 11005 are 5, 31, 71. Prime factorization of 11005 in exponential form is:

11005 = 5¹ × 31¹ × 71¹

Step-2: Prime Factorization of 11023

Prime factors of 11023 are 73, 151. Prime factorization of 11023 in exponential form is:

11023 = 73¹ × 151¹

Step-3: Factors of 11005

List of positive integer factors of 11005 that divides 11005 without a remainder.

1, 5, 31, 71, 155, 355, 2201

Step-4: Factors of 11023

List of positive integer factors of 11023 that divides 11005 without a remainder.

1, 73, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11005 and 11023. The biggest common factor number is the GCF number.
So the greatest common factor 11005 and 11023 is 1.

Also check out the Least Common Multiple of 11005 and 11023