What is the Greatest Common Factor of 23786 and 23800?

Greatest common factor (GCF) of 23786 and 23800 is 14.

GCF(23786,23800) = 14

We will now calculate the prime factors of 23786 and 23800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23786 and 23800.

How to find the GCF of 23786 and 23800?

We will first find the prime factorization of 23786 and 23800. After we will calculate the factors of 23786 and 23800 and find the biggest common factor number .

Step-1: Prime Factorization of 23786

Prime factors of 23786 are 2, 7, 1699. Prime factorization of 23786 in exponential form is:

23786 = 2¹ × 7¹ × 1699¹

Step-2: 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-3: Factors of 23786

List of positive integer factors of 23786 that divides 23786 without a remainder.

1, 2, 7, 14, 1699, 3398, 11893

Step-4: Factors of 23800

List of positive integer factors of 23800 that divides 23786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23786 and 23800. The biggest common factor number is the GCF number.
So the greatest common factor 23786 and 23800 is 14.

Also check out the Least Common Multiple of 23786 and 23800