What is the Greatest Common Factor of 23578 and 23582?

Greatest common factor (GCF) of 23578 and 23582 is 2.

GCF(23578,23582) = 2

We will now calculate the prime factors of 23578 and 23582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23578 and 23582.

How to find the GCF of 23578 and 23582?

We will first find the prime factorization of 23578 and 23582. After we will calculate the factors of 23578 and 23582 and find the biggest common factor number .

Step-1: Prime Factorization of 23578

Prime factors of 23578 are 2, 11789. Prime factorization of 23578 in exponential form is:

23578 = 2¹ × 11789¹

Step-2: Prime Factorization of 23582

Prime factors of 23582 are 2, 13, 907. Prime factorization of 23582 in exponential form is:

23582 = 2¹ × 13¹ × 907¹

Step-3: Factors of 23578

List of positive integer factors of 23578 that divides 23578 without a remainder.

1, 2, 11789

Step-4: Factors of 23582

List of positive integer factors of 23582 that divides 23578 without a remainder.

1, 2, 13, 26, 907, 1814, 11791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23578 and 23582. The biggest common factor number is the GCF number.
So the greatest common factor 23578 and 23582 is 2.

Also check out the Least Common Multiple of 23578 and 23582