Greatest Common Factor of 6736 and 6743

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 6736, 6743 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6736 and 6743 is 1.

GCF(6736,6743) = 1

GCF of 6736 and 6743

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

GCF of:
and

Greatest Common Factor of 6736 and 6743

GCF of 6736 and 6743 is 1

Prime Factorization of 6736


2 6736
2 3368
2 1684
2 842
421 421
1

Prime factors of 6736 are 2,421. Prime factorization of 6736 in exponential form is:

6736 = 24×4211

Prime Factorization of 6743


11 6743
613 613
1

Prime factors of 6743 are 11,613. Prime factorization of 6743 in exponential form is:

6743 = 111×6131

∴ So by taking common prime factors GCF of 6736 and 6743 is 1

Greatest Common Factor of 6736 and 6743 by matching factors method

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1,2,4,8,16,421,842,1684,3368,6736

Factors of 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1,11,613,6743

Greatest Common Factor

We found the factors and prime factorization of 6736 and 6743. The biggest common factor number is the GCF number.
So the greatest common factor 6736 and 6743 is 1.

Also check out the Least Common Multiple of 6736 and 6743

Properties of GCF 6736 and 6743

(i) The GCF of 6736 and 6743 is associative

GCF of 6736 and 6743 = GCF of 6743 and 6736

Related Greatest Common Factor of 6736

Related Greatest Common Factor of 6743

Frequently Asked Questions on GCF of 6736 and 6743

1. What is the GCF of 6736 and 6743?

Answer: GCF of 6736 and 6743 is 1.

2. What are the Factors of 6736?

Answer: Factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736. There are 10 integers that are factors of 6736. The greatest factor of 6736 is 6736.

3. What are the Factors of 6743?

Answer: Factors of 6743 are 1, 11, 613, 6743. There are 4 integers that are factors of 6743. The greatest factor of 6743 is 6743.

4. How to Find the GCF of 6736 and 6743?

Answer:

Greatest Common Factor of 6736 and 6743 = 1

Step 1: Find the prime factorization of 6736

6736 = 2 x 2 x 2 x 2 x 421

Step 2: Find the prime factorization of 6743

6743 = 11 x 613

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 6736 and 6743 is 1