What is the Greatest Common Factor of 11025 and 11044?

Greatest common factor (GCF) of 11025 and 11044 is 1.

GCF(11025,11044) = 1

We will now calculate the prime factors of 11025 and 11044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11025 and 11044.

How to find the GCF of 11025 and 11044?

We will first find the prime factorization of 11025 and 11044. After we will calculate the factors of 11025 and 11044 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11044

Prime factors of 11044 are 2, 11, 251. Prime factorization of 11044 in exponential form is:

11044 = 2² × 11¹ × 251¹

Step-3: Factors of 11025

List of positive integer factors of 11025 that divides 11025 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

Step-4: Factors of 11044

List of positive integer factors of 11044 that divides 11025 without a remainder.

1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11025 and 11044. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11044 is 1.

Also check out the Least Common Multiple of 11025 and 11044