What is the Greatest Common Factor of 23400 and 23407?

Greatest common factor (GCF) of 23400 and 23407 is 1.

GCF(23400,23407) = 1

We will now calculate the prime factors of 23400 and 23407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23400 and 23407.

How to find the GCF of 23400 and 23407?

We will first find the prime factorization of 23400 and 23407. After we will calculate the factors of 23400 and 23407 and find the biggest common factor number .

Step-1: Prime Factorization of 23400

Prime factors of 23400 are 2, 3, 5, 13. Prime factorization of 23400 in exponential form is:

23400 = 2³ × 3² × 5² × 13¹

Step-2: Prime Factorization of 23407

Prime factors of 23407 are 89, 263. Prime factorization of 23407 in exponential form is:

23407 = 89¹ × 263¹

Step-3: Factors of 23400

List of positive integer factors of 23400 that divides 23400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 25, 26, 30, 36, 39, 40, 45, 50, 52, 60, 65, 72, 75, 78, 90, 100, 104, 117, 120, 130, 150, 156, 180, 195, 200, 225, 234, 260, 300, 312, 325, 360, 390, 450, 468, 520, 585, 600, 650, 780, 900, 936, 975, 1170, 1300, 1560, 1800, 1950, 2340, 2600, 2925, 3900, 4680, 5850, 7800, 11700

Step-4: Factors of 23407

List of positive integer factors of 23407 that divides 23400 without a remainder.

1, 89, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23400 and 23407. The biggest common factor number is the GCF number.
So the greatest common factor 23400 and 23407 is 1.

Also check out the Least Common Multiple of 23400 and 23407