What is the Greatest Common Factor of 53580 and 53592?

Greatest common factor (GCF) of 53580 and 53592 is 12.

GCF(53580,53592) = 12

We will now calculate the prime factors of 53580 and 53592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53580 and 53592.

How to find the GCF of 53580 and 53592?

We will first find the prime factorization of 53580 and 53592. After we will calculate the factors of 53580 and 53592 and find the biggest common factor number .

Step-1: Prime Factorization of 53580

Prime factors of 53580 are 2, 3, 5, 19, 47. Prime factorization of 53580 in exponential form is:

53580 = 2² × 3¹ × 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 53592

Prime factors of 53592 are 2, 3, 7, 11, 29. Prime factorization of 53592 in exponential form is:

53592 = 2³ × 3¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 53580

List of positive integer factors of 53580 that divides 53580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 47, 57, 60, 76, 94, 95, 114, 141, 188, 190, 228, 235, 282, 285, 380, 470, 564, 570, 705, 893, 940, 1140, 1410, 1786, 2679, 2820, 3572, 4465, 5358, 8930, 10716, 13395, 17860, 26790

Step-4: Factors of 53592

List of positive integer factors of 53592 that divides 53580 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 29, 33, 42, 44, 56, 58, 66, 77, 84, 87, 88, 116, 132, 154, 168, 174, 203, 231, 232, 264, 308, 319, 348, 406, 462, 609, 616, 638, 696, 812, 924, 957, 1218, 1276, 1624, 1848, 1914, 2233, 2436, 2552, 3828, 4466, 4872, 6699, 7656, 8932, 13398, 17864, 26796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53580 and 53592. The biggest common factor number is the GCF number.
So the greatest common factor 53580 and 53592 is 12.

Also check out the Least Common Multiple of 53580 and 53592