What is the Greatest Common Factor of 47580 and 47587?

Greatest common factor (GCF) of 47580 and 47587 is 1.

GCF(47580,47587) = 1

We will now calculate the prime factors of 47580 and 47587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47580 and 47587.

How to find the GCF of 47580 and 47587?

We will first find the prime factorization of 47580 and 47587. After we will calculate the factors of 47580 and 47587 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 47587

Prime factors of 47587 are 23, 2069. Prime factorization of 47587 in exponential form is:

47587 = 23¹ × 2069¹

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 47587

List of positive integer factors of 47587 that divides 47580 without a remainder.

1, 23, 2069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47580 and 47587. The biggest common factor number is the GCF number.
So the greatest common factor 47580 and 47587 is 1.

Also check out the Least Common Multiple of 47580 and 47587