What is the Greatest Common Factor of 47780 and 47790?

Greatest common factor (GCF) of 47780 and 47790 is 10.

GCF(47780,47790) = 10

We will now calculate the prime factors of 47780 and 47790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47780 and 47790.

How to find the GCF of 47780 and 47790?

We will first find the prime factorization of 47780 and 47790. After we will calculate the factors of 47780 and 47790 and find the biggest common factor number .

Step-1: Prime Factorization of 47780

Prime factors of 47780 are 2, 5, 2389. Prime factorization of 47780 in exponential form is:

47780 = 2² × 5¹ × 2389¹

Step-2: 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-3: Factors of 47780

List of positive integer factors of 47780 that divides 47780 without a remainder.

1, 2, 4, 5, 10, 20, 2389, 4778, 9556, 11945, 23890

Step-4: Factors of 47790

List of positive integer factors of 47790 that divides 47780 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47780 and 47790. The biggest common factor number is the GCF number.
So the greatest common factor 47780 and 47790 is 10.

Also check out the Least Common Multiple of 47780 and 47790