Greatest Common Factor of 14317 and 14323

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 14317 and 14323 by prime factorization method
• Greatest Common Factor of 14317 and 14323 by matching factors method

Prime Factorization of 14317

Prime factors of 14317 are 103,139. Prime factorization of 14317 in exponential form is:

14317 = 103¹×139¹

Prime Factorization of 14323

Prime factors of 14323 are 14323. Prime factorization of 14323 in exponential form is:

14323 = 14323¹

∴ So by taking common prime factors GCF of 14317 and 14323 is 1

Factors of 14317

List of positive integer factors of 14317 that divides 14317 without a remainder.

1,103,139,14317

Factors of 14323

List of positive integer factors of 14323 that divides 14323 without a remainder.

1,14323

Greatest Common Factor

We found the factors and prime factorization of 14317 and 14323. The biggest common factor number is the GCF number.
So the greatest common factor 14317 and 14323 is 1.

Also check out the Least Common Multiple of 14317 and 14323

(i) The GCF of 14317 and 14323 is associative

GCF of 14317 and 14323 = GCF of 14323 and 14317

1. What is the GCF of 14317 and 14323?

Answer: GCF of 14317 and 14323 is 1.

2. What are the Factors of 14317?

Answer: Factors of 14317 are 1, 103, 139, 14317. There are 4 integers that are factors of 14317. The greatest factor of 14317 is 14317.

3. What are the Factors of 14323?

Answer: Factors of 14323 are 1, 14323. There are 2 integers that are factors of 14323. The greatest factor of 14323 is 14323.

4. How to Find the GCF of 14317 and 14323?

Answer:

Greatest Common Factor of 14317 and 14323 = 1

Step 1: Find the prime factorization of 14317

14317 = 103 x 139

Step 2: Find the prime factorization of 14323

14323 = 14323

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 14317 and 14323 is 1