What is the Greatest Common Factor of 23900 and 23919?

Greatest common factor (GCF) of 23900 and 23919 is 1.

GCF(23900,23919) = 1

We will now calculate the prime factors of 23900 and 23919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23900 and 23919.

How to find the GCF of 23900 and 23919?

We will first find the prime factorization of 23900 and 23919. After we will calculate the factors of 23900 and 23919 and find the biggest common factor number .

Step-1: Prime Factorization of 23900

Prime factors of 23900 are 2, 5, 239. Prime factorization of 23900 in exponential form is:

23900 = 2² × 5² × 239¹

Step-2: Prime Factorization of 23919

Prime factors of 23919 are 3, 7, 17, 67. Prime factorization of 23919 in exponential form is:

23919 = 3¹ × 7¹ × 17¹ × 67¹

Step-3: Factors of 23900

List of positive integer factors of 23900 that divides 23900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 239, 478, 956, 1195, 2390, 4780, 5975, 11950

Step-4: Factors of 23919

List of positive integer factors of 23919 that divides 23900 without a remainder.

1, 3, 7, 17, 21, 51, 67, 119, 201, 357, 469, 1139, 1407, 3417, 7973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23900 and 23919. The biggest common factor number is the GCF number.
So the greatest common factor 23900 and 23919 is 1.

Also check out the Least Common Multiple of 23900 and 23919