What is the Greatest Common Factor of 23800 and 23807?

Greatest common factor (GCF) of 23800 and 23807 is 7.

GCF(23800,23807) = 7

We will now calculate the prime factors of 23800 and 23807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23800 and 23807.

How to find the GCF of 23800 and 23807?

We will first find the prime factorization of 23800 and 23807. After we will calculate the factors of 23800 and 23807 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 23807

Prime factors of 23807 are 7, 19, 179. Prime factorization of 23807 in exponential form is:

23807 = 7¹ × 19¹ × 179¹

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 23807

List of positive integer factors of 23807 that divides 23800 without a remainder.

1, 7, 19, 133, 179, 1253, 3401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23800 and 23807. The biggest common factor number is the GCF number.
So the greatest common factor 23800 and 23807 is 7.

Also check out the Least Common Multiple of 23800 and 23807