What is the Greatest Common Factor of 11025 and 11037?

Greatest common factor (GCF) of 11025 and 11037 is 3.

GCF(11025,11037) = 3

We will now calculate the prime factors of 11025 and 11037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11025 and 11037.

How to find the GCF of 11025 and 11037?

We will first find the prime factorization of 11025 and 11037. After we will calculate the factors of 11025 and 11037 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 11037

Prime factors of 11037 are 3, 13, 283. Prime factorization of 11037 in exponential form is:

11037 = 3¹ × 13¹ × 283¹

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 11037

List of positive integer factors of 11037 that divides 11025 without a remainder.

1, 3, 13, 39, 283, 849, 3679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11025 and 11037. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11037 is 3.

Also check out the Least Common Multiple of 11025 and 11037