What is the Greatest Common Factor of 14250 and 14270?

Greatest common factor (GCF) of 14250 and 14270 is 10.

GCF(14250,14270) = 10

We will now calculate the prime factors of 14250 and 14270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14250 and 14270.

How to find the GCF of 14250 and 14270?

We will first find the prime factorization of 14250 and 14270. After we will calculate the factors of 14250 and 14270 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 14270

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

14270 = 2¹ × 5¹ × 1427¹

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 14270

List of positive integer factors of 14270 that divides 14250 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14250 and 14270. The biggest common factor number is the GCF number.
So the greatest common factor 14250 and 14270 is 10.

Also check out the Least Common Multiple of 14250 and 14270