What is the Greatest Common Factor of 53580 and 53599?

Greatest common factor (GCF) of 53580 and 53599 is 19.

GCF(53580,53599) = 19

We will now calculate the prime factors of 53580 and 53599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53580 and 53599.

How to find the GCF of 53580 and 53599?

We will first find the prime factorization of 53580 and 53599. After we will calculate the factors of 53580 and 53599 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 53599

Prime factors of 53599 are 7, 13, 19, 31. Prime factorization of 53599 in exponential form is:

53599 = 7¹ × 13¹ × 19¹ × 31¹

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 53599

List of positive integer factors of 53599 that divides 53580 without a remainder.

1, 7, 13, 19, 31, 91, 133, 217, 247, 403, 589, 1729, 2821, 4123, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53580 and 53599. The biggest common factor number is the GCF number.
So the greatest common factor 53580 and 53599 is 19.

Also check out the Least Common Multiple of 53580 and 53599