What is the Greatest Common Factor of 47574 and 47583?

Greatest common factor (GCF) of 47574 and 47583 is 9.

GCF(47574,47583) = 9

We will now calculate the prime factors of 47574 and 47583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47574 and 47583.

How to find the GCF of 47574 and 47583?

We will first find the prime factorization of 47574 and 47583. After we will calculate the factors of 47574 and 47583 and find the biggest common factor number .

Step-1: Prime Factorization of 47574

Prime factors of 47574 are 2, 3, 881. Prime factorization of 47574 in exponential form is:

47574 = 2¹ × 3³ × 881¹

Step-2: 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-3: Factors of 47574

List of positive integer factors of 47574 that divides 47574 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 881, 1762, 2643, 5286, 7929, 15858, 23787

Step-4: Factors of 47583

List of positive integer factors of 47583 that divides 47574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47574 and 47583. The biggest common factor number is the GCF number.
So the greatest common factor 47574 and 47583 is 9.

Also check out the Least Common Multiple of 47574 and 47583