What is the Greatest Common Factor of 10545 and 10560?

Greatest common factor (GCF) of 10545 and 10560 is 15.

GCF(10545,10560) = 15

We will now calculate the prime factors of 10545 and 10560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10545 and 10560.

How to find the GCF of 10545 and 10560?

We will first find the prime factorization of 10545 and 10560. After we will calculate the factors of 10545 and 10560 and find the biggest common factor number .

Step-1: Prime Factorization of 10545

Prime factors of 10545 are 3, 5, 19, 37. Prime factorization of 10545 in exponential form is:

10545 = 3¹ × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 10560

Prime factors of 10560 are 2, 3, 5, 11. Prime factorization of 10560 in exponential form is:

10560 = 2⁶ × 3¹ × 5¹ × 11¹

Step-3: Factors of 10545

List of positive integer factors of 10545 that divides 10545 without a remainder.

1, 3, 5, 15, 19, 37, 57, 95, 111, 185, 285, 555, 703, 2109, 3515

Step-4: Factors of 10560

List of positive integer factors of 10560 that divides 10545 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, 64, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 192, 220, 240, 264, 320, 330, 352, 440, 480, 528, 660, 704, 880, 960, 1056, 1320, 1760, 2112, 2640, 3520, 5280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10545 and 10560. The biggest common factor number is the GCF number.
So the greatest common factor 10545 and 10560 is 15.

Also check out the Least Common Multiple of 10545 and 10560