What is the Greatest Common Factor of 53580 and 53595?

Greatest common factor (GCF) of 53580 and 53595 is 15.

GCF(53580,53595) = 15

We will now calculate the prime factors of 53580 and 53595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53580 and 53595.

How to find the GCF of 53580 and 53595?

We will first find the prime factorization of 53580 and 53595. After we will calculate the factors of 53580 and 53595 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 53595

Prime factors of 53595 are 3, 5, 397. Prime factorization of 53595 in exponential form is:

53595 = 3³ × 5¹ × 397¹

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 53595

List of positive integer factors of 53595 that divides 53580 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 397, 1191, 1985, 3573, 5955, 10719, 17865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53580 and 53595. The biggest common factor number is the GCF number.
So the greatest common factor 53580 and 53595 is 15.

Also check out the Least Common Multiple of 53580 and 53595