What is the Greatest Common Factor of 23600 and 23614?

Greatest common factor (GCF) of 23600 and 23614 is 2.

GCF(23600,23614) = 2

We will now calculate the prime factors of 23600 and 23614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23600 and 23614.

How to find the GCF of 23600 and 23614?

We will first find the prime factorization of 23600 and 23614. After we will calculate the factors of 23600 and 23614 and find the biggest common factor number .

Step-1: Prime Factorization of 23600

Prime factors of 23600 are 2, 5, 59. Prime factorization of 23600 in exponential form is:

23600 = 2⁴ × 5² × 59¹

Step-2: Prime Factorization of 23614

Prime factors of 23614 are 2, 11807. Prime factorization of 23614 in exponential form is:

23614 = 2¹ × 11807¹

Step-3: Factors of 23600

List of positive integer factors of 23600 that divides 23600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 59, 80, 100, 118, 200, 236, 295, 400, 472, 590, 944, 1180, 1475, 2360, 2950, 4720, 5900, 11800

Step-4: Factors of 23614

List of positive integer factors of 23614 that divides 23600 without a remainder.

1, 2, 11807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23600 and 23614. The biggest common factor number is the GCF number.
So the greatest common factor 23600 and 23614 is 2.

Also check out the Least Common Multiple of 23600 and 23614