What is the Greatest Common Factor of 47790 and 47800?

Greatest common factor (GCF) of 47790 and 47800 is 10.

GCF(47790,47800) = 10

We will now calculate the prime factors of 47790 and 47800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47790 and 47800.

How to find the GCF of 47790 and 47800?

We will first find the prime factorization of 47790 and 47800. After we will calculate the factors of 47790 and 47800 and find the biggest common factor number .

Step-1: Prime Factorization of 47790

Prime factors of 47790 are 2, 3, 5, 59. Prime factorization of 47790 in exponential form is:

47790 = 2¹ × 3⁴ × 5¹ × 59¹

Step-2: Prime Factorization of 47800

Prime factors of 47800 are 2, 5, 239. Prime factorization of 47800 in exponential form is:

47800 = 2³ × 5² × 239¹

Step-3: Factors of 47790

List of positive integer factors of 47790 that divides 47790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 81, 90, 118, 135, 162, 177, 270, 295, 354, 405, 531, 590, 810, 885, 1062, 1593, 1770, 2655, 3186, 4779, 5310, 7965, 9558, 15930, 23895

Step-4: Factors of 47800

List of positive integer factors of 47800 that divides 47790 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 239, 478, 956, 1195, 1912, 2390, 4780, 5975, 9560, 11950, 23900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47790 and 47800. The biggest common factor number is the GCF number.
So the greatest common factor 47790 and 47800 is 10.

Also check out the Least Common Multiple of 47790 and 47800