What is the Greatest Common Factor of 47568 and 47580?

Greatest common factor (GCF) of 47568 and 47580 is 12.

GCF(47568,47580) = 12

We will now calculate the prime factors of 47568 and 47580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47568 and 47580.

How to find the GCF of 47568 and 47580?

We will first find the prime factorization of 47568 and 47580. After we will calculate the factors of 47568 and 47580 and find the biggest common factor number .

Step-1: Prime Factorization of 47568

Prime factors of 47568 are 2, 3, 991. Prime factorization of 47568 in exponential form is:

47568 = 2⁴ × 3¹ × 991¹

Step-2: 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-3: Factors of 47568

List of positive integer factors of 47568 that divides 47568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 991, 1982, 2973, 3964, 5946, 7928, 11892, 15856, 23784

Step-4: Factors of 47580

List of positive integer factors of 47580 that divides 47568 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47568 and 47580. The biggest common factor number is the GCF number.
So the greatest common factor 47568 and 47580 is 12.

Also check out the Least Common Multiple of 47568 and 47580