What is the Greatest Common Factor of 47580 and 47590?

Greatest common factor (GCF) of 47580 and 47590 is 10.

GCF(47580,47590) = 10

We will now calculate the prime factors of 47580 and 47590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47580 and 47590.

How to find the GCF of 47580 and 47590?

We will first find the prime factorization of 47580 and 47590. After we will calculate the factors of 47580 and 47590 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 47590

Prime factors of 47590 are 2, 5, 4759. Prime factorization of 47590 in exponential form is:

47590 = 2¹ × 5¹ × 4759¹

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 47590

List of positive integer factors of 47590 that divides 47580 without a remainder.

1, 2, 5, 10, 4759, 9518, 23795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47580 and 47590. The biggest common factor number is the GCF number.
So the greatest common factor 47580 and 47590 is 10.

Also check out the Least Common Multiple of 47580 and 47590