What is the Greatest Common Factor of 13545 and 13560?

Greatest common factor (GCF) of 13545 and 13560 is 15.

GCF(13545,13560) = 15

We will now calculate the prime factors of 13545 and 13560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13545 and 13560.

How to find the GCF of 13545 and 13560?

We will first find the prime factorization of 13545 and 13560. After we will calculate the factors of 13545 and 13560 and find the biggest common factor number .

Step-1: Prime Factorization of 13545

Prime factors of 13545 are 3, 5, 7, 43. Prime factorization of 13545 in exponential form is:

13545 = 3² × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 13560

Prime factors of 13560 are 2, 3, 5, 113. Prime factorization of 13560 in exponential form is:

13560 = 2³ × 3¹ × 5¹ × 113¹

Step-3: Factors of 13545

List of positive integer factors of 13545 that divides 13545 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 43, 45, 63, 105, 129, 215, 301, 315, 387, 645, 903, 1505, 1935, 2709, 4515

Step-4: Factors of 13560

List of positive integer factors of 13560 that divides 13545 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 113, 120, 226, 339, 452, 565, 678, 904, 1130, 1356, 1695, 2260, 2712, 3390, 4520, 6780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13545 and 13560. The biggest common factor number is the GCF number.
So the greatest common factor 13545 and 13560 is 15.

Also check out the Least Common Multiple of 13545 and 13560