What is the Greatest Common Factor of 14234 and 14245?

Greatest common factor (GCF) of 14234 and 14245 is 11.

GCF(14234,14245) = 11

We will now calculate the prime factors of 14234 and 14245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14234 and 14245.

How to find the GCF of 14234 and 14245?

We will first find the prime factorization of 14234 and 14245. After we will calculate the factors of 14234 and 14245 and find the biggest common factor number .

Step-1: Prime Factorization of 14234

Prime factors of 14234 are 2, 11, 647. Prime factorization of 14234 in exponential form is:

14234 = 2¹ × 11¹ × 647¹

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 14234

List of positive integer factors of 14234 that divides 14234 without a remainder.

1, 2, 11, 22, 647, 1294, 7117

Step-4: Factors of 14245

List of positive integer factors of 14245 that divides 14234 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 14234 and 14245. The biggest common factor number is the GCF number.
So the greatest common factor 14234 and 14245 is 11.

Also check out the Least Common Multiple of 14234 and 14245