What is the Greatest Common Factor of 47583 and 47598?

Greatest common factor (GCF) of 47583 and 47598 is 3.

GCF(47583,47598) = 3

We will now calculate the prime factors of 47583 and 47598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47583 and 47598.

How to find the GCF of 47583 and 47598?

We will first find the prime factorization of 47583 and 47598. After we will calculate the factors of 47583 and 47598 and find the biggest common factor number .

Step-1: Prime Factorization of 47583

Prime factors of 47583 are 3, 17, 311. Prime factorization of 47583 in exponential form is:

47583 = 3² × 17¹ × 311¹

Step-2: Prime Factorization of 47598

Prime factors of 47598 are 2, 3, 7933. Prime factorization of 47598 in exponential form is:

47598 = 2¹ × 3¹ × 7933¹

Step-3: Factors of 47583

List of positive integer factors of 47583 that divides 47583 without a remainder.

1, 3, 9, 17, 51, 153, 311, 933, 2799, 5287, 15861

Step-4: Factors of 47598

List of positive integer factors of 47598 that divides 47583 without a remainder.

1, 2, 3, 6, 7933, 15866, 23799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47583 and 47598. The biggest common factor number is the GCF number.
So the greatest common factor 47583 and 47598 is 3.

Also check out the Least Common Multiple of 47583 and 47598