What is the Greatest Common Factor of 47580 and 47593?

Greatest common factor (GCF) of 47580 and 47593 is 13.

GCF(47580,47593) = 13

We will now calculate the prime factors of 47580 and 47593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47580 and 47593.

How to find the GCF of 47580 and 47593?

We will first find the prime factorization of 47580 and 47593. After we will calculate the factors of 47580 and 47593 and find the biggest common factor number .

Step-1: Prime Factorization of 47580

Prime factors of 47580 are 2, 3, 5, 13, 61. Prime factorization of 47580 in exponential form is:

47580 = 2² × 3¹ × 5¹ × 13¹ × 61¹

Step-2: Prime Factorization of 47593

Prime factors of 47593 are 7, 13, 523. Prime factorization of 47593 in exponential form is:

47593 = 7¹ × 13¹ × 523¹

Step-3: Factors of 47580

List of positive integer factors of 47580 that divides 47580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 61, 65, 78, 122, 130, 156, 183, 195, 244, 260, 305, 366, 390, 610, 732, 780, 793, 915, 1220, 1586, 1830, 2379, 3172, 3660, 3965, 4758, 7930, 9516, 11895, 15860, 23790

Step-4: Factors of 47593

List of positive integer factors of 47593 that divides 47580 without a remainder.

1, 7, 13, 91, 523, 3661, 6799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47580 and 47593. The biggest common factor number is the GCF number.
So the greatest common factor 47580 and 47593 is 13.

Also check out the Least Common Multiple of 47580 and 47593