What is the Greatest Common Factor of 53565 and 53580?

Greatest common factor (GCF) of 53565 and 53580 is 15.

GCF(53565,53580) = 15

We will now calculate the prime factors of 53565 and 53580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53565 and 53580.

How to find the GCF of 53565 and 53580?

We will first find the prime factorization of 53565 and 53580. After we will calculate the factors of 53565 and 53580 and find the biggest common factor number .

Step-1: Prime Factorization of 53565

Prime factors of 53565 are 3, 5, 3571. Prime factorization of 53565 in exponential form is:

53565 = 3¹ × 5¹ × 3571¹

Step-2: 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-3: Factors of 53565

List of positive integer factors of 53565 that divides 53565 without a remainder.

1, 3, 5, 15, 3571, 10713, 17855

Step-4: Factors of 53580

List of positive integer factors of 53580 that divides 53565 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53565 and 53580. The biggest common factor number is the GCF number.
So the greatest common factor 53565 and 53580 is 15.

Also check out the Least Common Multiple of 53565 and 53580