What is the Greatest Common Factor of 14800 and 14807?

Greatest common factor (GCF) of 14800 and 14807 is 1.

GCF(14800,14807) = 1

We will now calculate the prime factors of 14800 and 14807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14800 and 14807.

How to find the GCF of 14800 and 14807?

We will first find the prime factorization of 14800 and 14807. After we will calculate the factors of 14800 and 14807 and find the biggest common factor number .

Step-1: Prime Factorization of 14800

Prime factors of 14800 are 2, 5, 37. Prime factorization of 14800 in exponential form is:

14800 = 2⁴ × 5² × 37¹

Step-2: Prime Factorization of 14807

Prime factors of 14807 are 13, 17, 67. Prime factorization of 14807 in exponential form is:

14807 = 13¹ × 17¹ × 67¹

Step-3: Factors of 14800

List of positive integer factors of 14800 that divides 14800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 50, 74, 80, 100, 148, 185, 200, 296, 370, 400, 592, 740, 925, 1480, 1850, 2960, 3700, 7400

Step-4: Factors of 14807

List of positive integer factors of 14807 that divides 14800 without a remainder.

1, 13, 17, 67, 221, 871, 1139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14800 and 14807. The biggest common factor number is the GCF number.
So the greatest common factor 14800 and 14807 is 1.

Also check out the Least Common Multiple of 14800 and 14807