What is the Greatest Common Factor of 23800 and 23817?

Greatest common factor (GCF) of 23800 and 23817 is 17.

GCF(23800,23817) = 17

We will now calculate the prime factors of 23800 and 23817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23800 and 23817.

How to find the GCF of 23800 and 23817?

We will first find the prime factorization of 23800 and 23817. After we will calculate the factors of 23800 and 23817 and find the biggest common factor number .

Step-1: Prime Factorization of 23800

Prime factors of 23800 are 2, 5, 7, 17. Prime factorization of 23800 in exponential form is:

23800 = 2³ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 23817

Prime factors of 23817 are 3, 17, 467. Prime factorization of 23817 in exponential form is:

23817 = 3¹ × 17¹ × 467¹

Step-3: Factors of 23800

List of positive integer factors of 23800 that divides 23800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 85, 100, 119, 136, 140, 170, 175, 200, 238, 280, 340, 350, 425, 476, 595, 680, 700, 850, 952, 1190, 1400, 1700, 2380, 2975, 3400, 4760, 5950, 11900

Step-4: Factors of 23817

List of positive integer factors of 23817 that divides 23800 without a remainder.

1, 3, 17, 51, 467, 1401, 7939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23800 and 23817. The biggest common factor number is the GCF number.
So the greatest common factor 23800 and 23817 is 17.

Also check out the Least Common Multiple of 23800 and 23817