Greatest Common Factor of 6341 and 6349

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

• Greatest Common Factor of 6341 and 6349 by prime factorization method
• Greatest Common Factor of 6341 and 6349 by matching factors method

Prime Factorization of 6341

Prime factors of 6341 are 17,373. Prime factorization of 6341 in exponential form is:

6341 = 17¹×373¹

Prime Factorization of 6349

Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:

6349 = 7¹×907¹

∴ So by taking common prime factors GCF of 6341 and 6349 is 1

Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1,17,373,6341

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1,7,907,6349

Greatest Common Factor

We found the factors and prime factorization of 6341 and 6349. The biggest common factor number is the GCF number.
So the greatest common factor 6341 and 6349 is 1.

Also check out the Least Common Multiple of 6341 and 6349

(i) The GCF of 6341 and 6349 is associative

GCF of 6341 and 6349 = GCF of 6349 and 6341

1. What is the GCF of 6341 and 6349?

Answer: GCF of 6341 and 6349 is 1.

2. What are the Factors of 6341?

Answer: Factors of 6341 are 1, 17, 373, 6341. There are 4 integers that are factors of 6341. The greatest factor of 6341 is 6341.

3. What are the Factors of 6349?

Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.

4. How to Find the GCF of 6341 and 6349?

Answer:

Greatest Common Factor of 6341 and 6349 = 1

Step 1: Find the prime factorization of 6341

6341 = 17 x 373

Step 2: Find the prime factorization of 6349

6349 = 7 x 907

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 6341 and 6349 is 1