What is the Greatest Common Factor of 47790 and 47801?

Greatest common factor (GCF) of 47790 and 47801 is 1.

GCF(47790,47801) = 1

We will now calculate the prime factors of 47790 and 47801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47790 and 47801.

How to find the GCF of 47790 and 47801?

We will first find the prime factorization of 47790 and 47801. After we will calculate the factors of 47790 and 47801 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 47801

Prime factors of 47801 are 13, 3677. Prime factorization of 47801 in exponential form is:

47801 = 13¹ × 3677¹

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 47801

List of positive integer factors of 47801 that divides 47790 without a remainder.

1, 13, 3677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47790 and 47801. The biggest common factor number is the GCF number.
So the greatest common factor 47790 and 47801 is 1.

Also check out the Least Common Multiple of 47790 and 47801