What is the Greatest Common Factor of 14270 and 14285?

Greatest common factor (GCF) of 14270 and 14285 is 5.

GCF(14270,14285) = 5

We will now calculate the prime factors of 14270 and 14285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14270 and 14285.

How to find the GCF of 14270 and 14285?

We will first find the prime factorization of 14270 and 14285. After we will calculate the factors of 14270 and 14285 and find the biggest common factor number .

Step-1: Prime Factorization of 14270

Prime factors of 14270 are 2, 5, 1427. Prime factorization of 14270 in exponential form is:

14270 = 2¹ × 5¹ × 1427¹

Step-2: Prime Factorization of 14285

Prime factors of 14285 are 5, 2857. Prime factorization of 14285 in exponential form is:

14285 = 5¹ × 2857¹

Step-3: Factors of 14270

List of positive integer factors of 14270 that divides 14270 without a remainder.

1, 2, 5, 10, 1427, 2854, 7135

Step-4: Factors of 14285

List of positive integer factors of 14285 that divides 14270 without a remainder.

1, 5, 2857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14270 and 14285. The biggest common factor number is the GCF number.
So the greatest common factor 14270 and 14285 is 5.

Also check out the Least Common Multiple of 14270 and 14285