Greatest Common Factor of 6313 and 6317

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

• Greatest Common Factor of 6313 and 6317 by prime factorization method
• Greatest Common Factor of 6313 and 6317 by matching factors method

Prime Factorization of 6313

Prime factors of 6313 are 59,107. Prime factorization of 6313 in exponential form is:

6313 = 59¹×107¹

Prime Factorization of 6317

Prime factors of 6317 are 6317. Prime factorization of 6317 in exponential form is:

6317 = 6317¹

∴ So by taking common prime factors GCF of 6313 and 6317 is 1

Factors of 6313

List of positive integer factors of 6313 that divides 6313 without a remainder.

1,59,107,6313

Factors of 6317

List of positive integer factors of 6317 that divides 6317 without a remainder.

1,6317

Greatest Common Factor

We found the factors and prime factorization of 6313 and 6317. The biggest common factor number is the GCF number.
So the greatest common factor 6313 and 6317 is 1.

Also check out the Least Common Multiple of 6313 and 6317

(i) The GCF of 6313 and 6317 is associative

GCF of 6313 and 6317 = GCF of 6317 and 6313

1. What is the GCF of 6313 and 6317?

Answer: GCF of 6313 and 6317 is 1.

2. What are the Factors of 6313?

Answer: Factors of 6313 are 1, 59, 107, 6313. There are 4 integers that are factors of 6313. The greatest factor of 6313 is 6313.

3. What are the Factors of 6317?

Answer: Factors of 6317 are 1, 6317. There are 2 integers that are factors of 6317. The greatest factor of 6317 is 6317.

4. How to Find the GCF of 6313 and 6317?

Answer:

Greatest Common Factor of 6313 and 6317 = 1

Step 1: Find the prime factorization of 6313

6313 = 59 x 107

Step 2: Find the prime factorization of 6317

6317 = 6317

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 6313 and 6317 is 1