What is the Greatest Common Factor of 47790 and 47802?

Greatest common factor (GCF) of 47790 and 47802 is 6.

GCF(47790,47802) = 6

We will now calculate the prime factors of 47790 and 47802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47790 and 47802.

How to find the GCF of 47790 and 47802?

We will first find the prime factorization of 47790 and 47802. After we will calculate the factors of 47790 and 47802 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 47802

Prime factors of 47802 are 2, 3, 31, 257. Prime factorization of 47802 in exponential form is:

47802 = 2¹ × 3¹ × 31¹ × 257¹

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 47802

List of positive integer factors of 47802 that divides 47790 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47790 and 47802. The biggest common factor number is the GCF number.
So the greatest common factor 47790 and 47802 is 6.

Also check out the Least Common Multiple of 47790 and 47802