What is the Greatest Common Factor of 76548 and 76560?

Greatest common factor (GCF) of 76548 and 76560 is 12.

GCF(76548,76560) = 12

We will now calculate the prime factors of 76548 and 76560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76548 and 76560.

How to find the GCF of 76548 and 76560?

We will first find the prime factorization of 76548 and 76560. After we will calculate the factors of 76548 and 76560 and find the biggest common factor number .

Step-1: Prime Factorization of 76548

Prime factors of 76548 are 2, 3, 6379. Prime factorization of 76548 in exponential form is:

76548 = 2² × 3¹ × 6379¹

Step-2: Prime Factorization of 76560

Prime factors of 76560 are 2, 3, 5, 11, 29. Prime factorization of 76560 in exponential form is:

76560 = 2⁴ × 3¹ × 5¹ × 11¹ × 29¹

Step-3: Factors of 76548

List of positive integer factors of 76548 that divides 76548 without a remainder.

1, 2, 3, 4, 6, 12, 6379, 12758, 19137, 25516, 38274

Step-4: Factors of 76560

List of positive integer factors of 76560 that divides 76548 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 29, 30, 33, 40, 44, 48, 55, 58, 60, 66, 80, 87, 88, 110, 116, 120, 132, 145, 165, 174, 176, 220, 232, 240, 264, 290, 319, 330, 348, 435, 440, 464, 528, 580, 638, 660, 696, 870, 880, 957, 1160, 1276, 1320, 1392, 1595, 1740, 1914, 2320, 2552, 2640, 3190, 3480, 3828, 4785, 5104, 6380, 6960, 7656, 9570, 12760, 15312, 19140, 25520, 38280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76548 and 76560. The biggest common factor number is the GCF number.
So the greatest common factor 76548 and 76560 is 12.

Also check out the Least Common Multiple of 76548 and 76560