What is the Greatest Common Factor of 11025 and 11040?

Greatest common factor (GCF) of 11025 and 11040 is 15.

GCF(11025,11040) = 15

We will now calculate the prime factors of 11025 and 11040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11025 and 11040.

How to find the GCF of 11025 and 11040?

We will first find the prime factorization of 11025 and 11040. After we will calculate the factors of 11025 and 11040 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 11040

Prime factors of 11040 are 2, 3, 5, 23. Prime factorization of 11040 in exponential form is:

11040 = 2⁵ × 3¹ × 5¹ × 23¹

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 11040

List of positive integer factors of 11040 that divides 11025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11025 and 11040. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11040 is 15.

Also check out the Least Common Multiple of 11025 and 11040