What is the Greatest Common Factor of 10548 and 10560?

Greatest common factor (GCF) of 10548 and 10560 is 12.

GCF(10548,10560) = 12

We will now calculate the prime factors of 10548 and 10560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10548 and 10560.

How to find the GCF of 10548 and 10560?

We will first find the prime factorization of 10548 and 10560. After we will calculate the factors of 10548 and 10560 and find the biggest common factor number .

Step-1: Prime Factorization of 10548

Prime factors of 10548 are 2, 3, 293. Prime factorization of 10548 in exponential form is:

10548 = 2² × 3² × 293¹

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 10548

List of positive integer factors of 10548 that divides 10548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 293, 586, 879, 1172, 1758, 2637, 3516, 5274

Step-4: Factors of 10560

List of positive integer factors of 10560 that divides 10548 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 10548 and 10560. The biggest common factor number is the GCF number.
So the greatest common factor 10548 and 10560 is 12.

Also check out the Least Common Multiple of 10548 and 10560