What is the Greatest Common Factor of 47568 and 47582?

Greatest common factor (GCF) of 47568 and 47582 is 2.

GCF(47568,47582) = 2

We will now calculate the prime factors of 47568 and 47582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47568 and 47582.

How to find the GCF of 47568 and 47582?

We will first find the prime factorization of 47568 and 47582. After we will calculate the factors of 47568 and 47582 and find the biggest common factor number .

Step-1: Prime Factorization of 47568

Prime factors of 47568 are 2, 3, 991. Prime factorization of 47568 in exponential form is:

47568 = 2⁴ × 3¹ × 991¹

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 47568

List of positive integer factors of 47568 that divides 47568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 991, 1982, 2973, 3964, 5946, 7928, 11892, 15856, 23784

Step-4: Factors of 47582

List of positive integer factors of 47582 that divides 47568 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47568 and 47582. The biggest common factor number is the GCF number.
So the greatest common factor 47568 and 47582 is 2.

Also check out the Least Common Multiple of 47568 and 47582