What is the Greatest Common Factor of 11025 and 11035?

Greatest common factor (GCF) of 11025 and 11035 is 5.

GCF(11025,11035) = 5

We will now calculate the prime factors of 11025 and 11035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11025 and 11035.

How to find the GCF of 11025 and 11035?

We will first find the prime factorization of 11025 and 11035. After we will calculate the factors of 11025 and 11035 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 11035

Prime factors of 11035 are 5, 2207. Prime factorization of 11035 in exponential form is:

11035 = 5¹ × 2207¹

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 11035

List of positive integer factors of 11035 that divides 11025 without a remainder.

1, 5, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11025 and 11035. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11035 is 5.

Also check out the Least Common Multiple of 11025 and 11035