What is the Greatest Common Factor of 14200 and 14207?

Greatest common factor (GCF) of 14200 and 14207 is 1.

GCF(14200,14207) = 1

We will now calculate the prime factors of 14200 and 14207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14200 and 14207.

How to find the GCF of 14200 and 14207?

We will first find the prime factorization of 14200 and 14207. After we will calculate the factors of 14200 and 14207 and find the biggest common factor number .

Step-1: Prime Factorization of 14200

Prime factors of 14200 are 2, 5, 71. Prime factorization of 14200 in exponential form is:

14200 = 2³ × 5² × 71¹

Step-2: Prime Factorization of 14207

Prime factors of 14207 are 14207. Prime factorization of 14207 in exponential form is:

14207 = 14207¹

Step-3: Factors of 14200

List of positive integer factors of 14200 that divides 14200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 142, 200, 284, 355, 568, 710, 1420, 1775, 2840, 3550, 7100

Step-4: Factors of 14207

List of positive integer factors of 14207 that divides 14200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14200 and 14207. The biggest common factor number is the GCF number.
So the greatest common factor 14200 and 14207 is 1.

Also check out the Least Common Multiple of 14200 and 14207