Greatest Common Factor of 6306 and 6313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6306, 6313 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6306 and 6313 is 1.

GCF(6306,6313) = 1

GCF of 6306 and 6313

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

GCF of:
and

Greatest Common Factor of 6306 and 6313

GCF of 6306 and 6313 is 1

Prime Factorization of 6306


2 6306
3 3153
1051 1051
1

Prime factors of 6306 are 2,3,1051. Prime factorization of 6306 in exponential form is:

6306 = 21×31×10511

Prime Factorization of 6313


59 6313
107 107
1

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

6313 = 591×1071

∴ So by taking common prime factors GCF of 6306 and 6313 is 1

Greatest Common Factor of 6306 and 6313 by matching factors method

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1,2,3,6,1051,2102,3153,6306

Factors of 6313

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

1,59,107,6313

Greatest Common Factor

We found the factors and prime factorization of 6306 and 6313. The biggest common factor number is the GCF number.
So the greatest common factor 6306 and 6313 is 1.

Also check out the Least Common Multiple of 6306 and 6313

Properties of GCF 6306 and 6313

(i) The GCF of 6306 and 6313 is associative

GCF of 6306 and 6313 = GCF of 6313 and 6306

Related Greatest Common Factor of 6306

Related Greatest Common Factor of 6313

Frequently Asked Questions on GCF of 6306 and 6313

1. What is the GCF of 6306 and 6313?

Answer: GCF of 6306 and 6313 is 1.

2. What are the Factors of 6306?

Answer: Factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306. There are 8 integers that are factors of 6306. The greatest factor of 6306 is 6306.

3. 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.

4. How to Find the GCF of 6306 and 6313?

Answer:

Greatest Common Factor of 6306 and 6313 = 1

Step 1: Find the prime factorization of 6306

6306 = 2 x 3 x 1051

Step 2: Find the prime factorization of 6313

6313 = 59 x 107

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 6306 and 6313 is 1