What is the Greatest Common Factor of 14238 and 14253?

Greatest common factor (GCF) of 14238 and 14253 is 3.

GCF(14238,14253) = 3

We will now calculate the prime factors of 14238 and 14253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14238 and 14253.

How to find the GCF of 14238 and 14253?

We will first find the prime factorization of 14238 and 14253. After we will calculate the factors of 14238 and 14253 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 14253

Prime factors of 14253 are 3, 4751. Prime factorization of 14253 in exponential form is:

14253 = 3¹ × 4751¹

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 14253

List of positive integer factors of 14253 that divides 14238 without a remainder.

1, 3, 4751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14238 and 14253. The biggest common factor number is the GCF number.
So the greatest common factor 14238 and 14253 is 3.

Also check out the Least Common Multiple of 14238 and 14253