What is the Greatest Common Factor of 47575 and 47580?

Greatest common factor (GCF) of 47575 and 47580 is 5.

GCF(47575,47580) = 5

We will now calculate the prime factors of 47575 and 47580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47575 and 47580.

How to find the GCF of 47575 and 47580?

We will first find the prime factorization of 47575 and 47580. After we will calculate the factors of 47575 and 47580 and find the biggest common factor number .

Step-1: Prime Factorization of 47575

Prime factors of 47575 are 5, 11, 173. Prime factorization of 47575 in exponential form is:

47575 = 5² × 11¹ × 173¹

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 47575

List of positive integer factors of 47575 that divides 47575 without a remainder.

1, 5, 11, 25, 55, 173, 275, 865, 1903, 4325, 9515

Step-4: Factors of 47580

List of positive integer factors of 47580 that divides 47575 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 47575 and 47580. The biggest common factor number is the GCF number.
So the greatest common factor 47575 and 47580 is 5.

Also check out the Least Common Multiple of 47575 and 47580