What is the Greatest Common Factor of 23576 and 23583?

Greatest common factor (GCF) of 23576 and 23583 is 7.

GCF(23576,23583) = 7

We will now calculate the prime factors of 23576 and 23583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23576 and 23583.

How to find the GCF of 23576 and 23583?

We will first find the prime factorization of 23576 and 23583. After we will calculate the factors of 23576 and 23583 and find the biggest common factor number .

Step-1: Prime Factorization of 23576

Prime factors of 23576 are 2, 7, 421. Prime factorization of 23576 in exponential form is:

23576 = 2³ × 7¹ × 421¹

Step-2: Prime Factorization of 23583

Prime factors of 23583 are 3, 7, 1123. Prime factorization of 23583 in exponential form is:

23583 = 3¹ × 7¹ × 1123¹

Step-3: Factors of 23576

List of positive integer factors of 23576 that divides 23576 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 421, 842, 1684, 2947, 3368, 5894, 11788

Step-4: Factors of 23583

List of positive integer factors of 23583 that divides 23576 without a remainder.

1, 3, 7, 21, 1123, 3369, 7861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23576 and 23583. The biggest common factor number is the GCF number.
So the greatest common factor 23576 and 23583 is 7.

Also check out the Least Common Multiple of 23576 and 23583