What is the Greatest Common Factor of 14250 and 14263?

Greatest common factor (GCF) of 14250 and 14263 is 1.

GCF(14250,14263) = 1

We will now calculate the prime factors of 14250 and 14263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14250 and 14263.

How to find the GCF of 14250 and 14263?

We will first find the prime factorization of 14250 and 14263. After we will calculate the factors of 14250 and 14263 and find the biggest common factor number .

Step-1: Prime Factorization of 14250

Prime factors of 14250 are 2, 3, 5, 19. Prime factorization of 14250 in exponential form is:

14250 = 2¹ × 3¹ × 5³ × 19¹

Step-2: Prime Factorization of 14263

Prime factors of 14263 are 17, 839. Prime factorization of 14263 in exponential form is:

14263 = 17¹ × 839¹

Step-3: Factors of 14250

List of positive integer factors of 14250 that divides 14250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 125, 150, 190, 250, 285, 375, 475, 570, 750, 950, 1425, 2375, 2850, 4750, 7125

Step-4: Factors of 14263

List of positive integer factors of 14263 that divides 14250 without a remainder.

1, 17, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14250 and 14263. The biggest common factor number is the GCF number.
So the greatest common factor 14250 and 14263 is 1.

Also check out the Least Common Multiple of 14250 and 14263