What is the Greatest Common Factor of 73548 and 73560?

Greatest common factor (GCF) of 73548 and 73560 is 12.

GCF(73548,73560) = 12

We will now calculate the prime factors of 73548 and 73560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73548 and 73560.

How to find the GCF of 73548 and 73560?

We will first find the prime factorization of 73548 and 73560. After we will calculate the factors of 73548 and 73560 and find the biggest common factor number .

Step-1: Prime Factorization of 73548

Prime factors of 73548 are 2, 3, 227. Prime factorization of 73548 in exponential form is:

73548 = 2² × 3⁴ × 227¹

Step-2: Prime Factorization of 73560

Prime factors of 73560 are 2, 3, 5, 613. Prime factorization of 73560 in exponential form is:

73560 = 2³ × 3¹ × 5¹ × 613¹

Step-3: Factors of 73548

List of positive integer factors of 73548 that divides 73548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 227, 324, 454, 681, 908, 1362, 2043, 2724, 4086, 6129, 8172, 12258, 18387, 24516, 36774

Step-4: Factors of 73560

List of positive integer factors of 73560 that divides 73548 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 613, 1226, 1839, 2452, 3065, 3678, 4904, 6130, 7356, 9195, 12260, 14712, 18390, 24520, 36780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73548 and 73560. The biggest common factor number is the GCF number.
So the greatest common factor 73548 and 73560 is 12.

Also check out the Least Common Multiple of 73548 and 73560