What is the Greatest Common Factor of 2400 and 2407?

Greatest common factor (GCF) of 2400 and 2407 is 1.

GCF(2400,2407) = 1

We will now calculate the prime factors of 2400 and 2407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2400 and 2407.

How to find the GCF of 2400 and 2407?

We will first find the prime factorization of 2400 and 2407. After we will calculate the factors of 2400 and 2407 and find the biggest common factor number .

Step-1: Prime Factorization of 2400

Prime factors of 2400 are 2, 3, 5. Prime factorization of 2400 in exponential form is:

2400 = 2⁵ × 3¹ × 5²

Step-2: Prime Factorization of 2407

Prime factors of 2407 are 29, 83. Prime factorization of 2407 in exponential form is:

2407 = 29¹ × 83¹

Step-3: Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200

Step-4: Factors of 2407

List of positive integer factors of 2407 that divides 2400 without a remainder.

1, 29, 83

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2400 and 2407. The biggest common factor number is the GCF number.
So the greatest common factor 2400 and 2407 is 1.

Also check out the Least Common Multiple of 2400 and 2407