What is the Greatest Common Factor of 5265 and 5280?

Greatest common factor (GCF) of 5265 and 5280 is 15.

GCF(5265,5280) = 15

We will now calculate the prime factors of 5265 and 5280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5265 and 5280.

How to find the GCF of 5265 and 5280?

We will first find the prime factorization of 5265 and 5280. After we will calculate the factors of 5265 and 5280 and find the biggest common factor number .

Step-1: Prime Factorization of 5265

Prime factors of 5265 are 3, 5, 13. Prime factorization of 5265 in exponential form is:

5265 = 3⁴ × 5¹ × 13¹

Step-2: Prime Factorization of 5280

Prime factors of 5280 are 2, 3, 5, 11. Prime factorization of 5280 in exponential form is:

5280 = 2⁵ × 3¹ × 5¹ × 11¹

Step-3: Factors of 5265

List of positive integer factors of 5265 that divides 5265 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755

Step-4: Factors of 5280

List of positive integer factors of 5280 that divides 5265 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5265 and 5280. The biggest common factor number is the GCF number.
So the greatest common factor 5265 and 5280 is 15.

Also check out the Least Common Multiple of 5265 and 5280