What is the Greatest Common Factor of 47570 and 47580?

Greatest common factor (GCF) of 47570 and 47580 is 10.

GCF(47570,47580) = 10

We will now calculate the prime factors of 47570 and 47580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47570 and 47580.

How to find the GCF of 47570 and 47580?

We will first find the prime factorization of 47570 and 47580. After we will calculate the factors of 47570 and 47580 and find the biggest common factor number .

Step-1: Prime Factorization of 47570

Prime factors of 47570 are 2, 5, 67, 71. Prime factorization of 47570 in exponential form is:

47570 = 2¹ × 5¹ × 67¹ × 71¹

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 47570

List of positive integer factors of 47570 that divides 47570 without a remainder.

1, 2, 5, 10, 67, 71, 134, 142, 335, 355, 670, 710, 4757, 9514, 23785

Step-4: Factors of 47580

List of positive integer factors of 47580 that divides 47570 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 47570 and 47580. The biggest common factor number is the GCF number.
So the greatest common factor 47570 and 47580 is 10.

Also check out the Least Common Multiple of 47570 and 47580