What is the Greatest Common Factor of 14238 and 14250?

Greatest common factor (GCF) of 14238 and 14250 is 6.

GCF(14238,14250) = 6

We will now calculate the prime factors of 14238 and 14250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14238 and 14250.

How to find the GCF of 14238 and 14250?

We will first find the prime factorization of 14238 and 14250. After we will calculate the factors of 14238 and 14250 and find the biggest common factor number .

Step-1: Prime Factorization of 14238

Prime factors of 14238 are 2, 3, 7, 113. Prime factorization of 14238 in exponential form is:

14238 = 2¹ × 3² × 7¹ × 113¹

Step-2: 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-3: Factors of 14238

List of positive integer factors of 14238 that divides 14238 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 113, 126, 226, 339, 678, 791, 1017, 1582, 2034, 2373, 4746, 7119

Step-4: Factors of 14250

List of positive integer factors of 14250 that divides 14238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14238 and 14250. The biggest common factor number is the GCF number.
So the greatest common factor 14238 and 14250 is 6.

Also check out the Least Common Multiple of 14238 and 14250