Greatest Common Factor of 6736 and 6742

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, 6742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6736 and 6742 is 2.

GCF(6736,6742) = 2

GCF of 6736 and 6742

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

GCF of:
and

Greatest Common Factor of 6736 and 6742

GCF of 6736 and 6742 is 2

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 6742


2 6742
3371 3371
1

Prime factors of 6742 are 2,3371. Prime factorization of 6742 in exponential form is:

6742 = 21×33711

∴ So by taking common prime factors GCF of 6736 and 6742 is 2

Greatest Common Factor of 6736 and 6742 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 6742

List of positive integer factors of 6742 that divides 6742 without a remainder.

1,2,3371,6742

Greatest Common Factor

We found the factors and prime factorization of 6736 and 6742. The biggest common factor number is the GCF number.
So the greatest common factor 6736 and 6742 is 2.

Also check out the Least Common Multiple of 6736 and 6742

Properties of GCF 6736 and 6742

(i) The GCF of 6736 and 6742 is associative

GCF of 6736 and 6742 = GCF of 6742 and 6736

Related Greatest Common Factor of 6736

Related Greatest Common Factor of 6742

Frequently Asked Questions on GCF of 6736 and 6742

1. What is the GCF of 6736 and 6742?

Answer: GCF of 6736 and 6742 is 2.

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 6742?

Answer: Factors of 6742 are 1, 2, 3371, 6742. There are 4 integers that are factors of 6742. The greatest factor of 6742 is 6742.

4. How to Find the GCF of 6736 and 6742?

Answer:

Greatest Common Factor of 6736 and 6742 = 2

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 6742

6742 = 2 x 3371

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6736 and 6742 is 2