What is the Greatest Common Factor of 14250 and 14269?

Greatest common factor (GCF) of 14250 and 14269 is 19.

GCF(14250,14269) = 19

We will now calculate the prime factors of 14250 and 14269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14250 and 14269.

How to find the GCF of 14250 and 14269?

We will first find the prime factorization of 14250 and 14269. After we will calculate the factors of 14250 and 14269 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 14269

Prime factors of 14269 are 19, 751. Prime factorization of 14269 in exponential form is:

14269 = 19¹ × 751¹

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 14269

List of positive integer factors of 14269 that divides 14250 without a remainder.

1, 19, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14250 and 14269. The biggest common factor number is the GCF number.
So the greatest common factor 14250 and 14269 is 19.

Also check out the Least Common Multiple of 14250 and 14269