What is the Greatest Common Factor of 47574 and 47582?

Greatest common factor (GCF) of 47574 and 47582 is 2.

GCF(47574,47582) = 2

We will now calculate the prime factors of 47574 and 47582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47574 and 47582.

How to find the GCF of 47574 and 47582?

We will first find the prime factorization of 47574 and 47582. After we will calculate the factors of 47574 and 47582 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 47582

Prime factors of 47582 are 2, 37, 643. Prime factorization of 47582 in exponential form is:

47582 = 2¹ × 37¹ × 643¹

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 47582

List of positive integer factors of 47582 that divides 47574 without a remainder.

1, 2, 37, 74, 643, 1286, 23791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47574 and 47582. The biggest common factor number is the GCF number.
So the greatest common factor 47574 and 47582 is 2.

Also check out the Least Common Multiple of 47574 and 47582