What is the Greatest Common Factor of 11006 and 11025?

Greatest common factor (GCF) of 11006 and 11025 is 1.

GCF(11006,11025) = 1

We will now calculate the prime factors of 11006 and 11025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11006 and 11025.

How to find the GCF of 11006 and 11025?

We will first find the prime factorization of 11006 and 11025. After we will calculate the factors of 11006 and 11025 and find the biggest common factor number .

Step-1: Prime Factorization of 11006

Prime factors of 11006 are 2, 5503. Prime factorization of 11006 in exponential form is:

11006 = 2¹ × 5503¹

Step-2: Prime Factorization of 11025

Prime factors of 11025 are 3, 5, 7. Prime factorization of 11025 in exponential form is:

11025 = 3² × 5² × 7²

Step-3: Factors of 11006

List of positive integer factors of 11006 that divides 11006 without a remainder.

1, 2, 5503

Step-4: Factors of 11025

List of positive integer factors of 11025 that divides 11006 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11006 and 11025. The biggest common factor number is the GCF number.
So the greatest common factor 11006 and 11025 is 1.

Also check out the Least Common Multiple of 11006 and 11025