Greatest Common Factor of 7734 and 7736

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 7734, 7736 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7734 and 7736 is 2.

GCF(7734,7736) = 2

GCF of 7734 and 7736

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

GCF of:
and

Greatest Common Factor of 7734 and 7736

GCF of 7734 and 7736 is 2

Prime Factorization of 7734


2 7734
3 3867
1289 1289
1

Prime factors of 7734 are 2,3,1289. Prime factorization of 7734 in exponential form is:

7734 = 21×31×12891

Prime Factorization of 7736


2 7736
2 3868
2 1934
967 967
1

Prime factors of 7736 are 2,967. Prime factorization of 7736 in exponential form is:

7736 = 23×9671

∴ So by taking common prime factors GCF of 7734 and 7736 is 2

Greatest Common Factor of 7734 and 7736 by matching factors method

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1,2,3,6,1289,2578,3867,7734

Factors of 7736

List of positive integer factors of 7736 that divides 7736 without a remainder.

1,2,4,8,967,1934,3868,7736

Greatest Common Factor

We found the factors and prime factorization of 7734 and 7736. The biggest common factor number is the GCF number.
So the greatest common factor 7734 and 7736 is 2.

Also check out the Least Common Multiple of 7734 and 7736

Properties of GCF 7734 and 7736

(i) The GCF of 7734 and 7736 is associative

GCF of 7734 and 7736 = GCF of 7736 and 7734

Related Greatest Common Factor of 7734

Related Greatest Common Factor of 7736

Frequently Asked Questions on GCF of 7734 and 7736

1. What is the GCF of 7734 and 7736?

Answer: GCF of 7734 and 7736 is 2.

2. What are the Factors of 7734?

Answer: Factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734. There are 8 integers that are factors of 7734. The greatest factor of 7734 is 7734.

3. What are the Factors of 7736?

Answer: Factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736. There are 8 integers that are factors of 7736. The greatest factor of 7736 is 7736.

4. How to Find the GCF of 7734 and 7736?

Answer:

Greatest Common Factor of 7734 and 7736 = 2

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7736

7736 = 2 x 2 x 2 x 967

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 7734 and 7736 is 2