What is the Greatest Common Factor of 11025 and 11034?

Greatest common factor (GCF) of 11025 and 11034 is 9.

GCF(11025,11034) = 9

We will now calculate the prime factors of 11025 and 11034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11025 and 11034.

How to find the GCF of 11025 and 11034?

We will first find the prime factorization of 11025 and 11034. After we will calculate the factors of 11025 and 11034 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 11034

Prime factors of 11034 are 2, 3, 613. Prime factorization of 11034 in exponential form is:

11034 = 2¹ × 3² × 613¹

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 11034

List of positive integer factors of 11034 that divides 11025 without a remainder.

1, 2, 3, 6, 9, 18, 613, 1226, 1839, 3678, 5517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11025 and 11034. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11034 is 9.

Also check out the Least Common Multiple of 11025 and 11034