What is the Greatest Common Factor of 14238 and 14245?

Greatest common factor (GCF) of 14238 and 14245 is 7.

GCF(14238,14245) = 7

We will now calculate the prime factors of 14238 and 14245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14238 and 14245.

How to find the GCF of 14238 and 14245?

We will first find the prime factorization of 14238 and 14245. After we will calculate the factors of 14238 and 14245 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 14245

Prime factors of 14245 are 5, 7, 11, 37. Prime factorization of 14245 in exponential form is:

14245 = 5¹ × 7¹ × 11¹ × 37¹

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 14245

List of positive integer factors of 14245 that divides 14238 without a remainder.

1, 5, 7, 11, 35, 37, 55, 77, 185, 259, 385, 407, 1295, 2035, 2849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14238 and 14245. The biggest common factor number is the GCF number.
So the greatest common factor 14238 and 14245 is 7.

Also check out the Least Common Multiple of 14238 and 14245