Greatest Common Factor of 7734 and 7742

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, 7742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7734 and 7742 is 2.

GCF(7734,7742) = 2

GCF of 7734 and 7742

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

GCF of:
and

Greatest Common Factor of 7734 and 7742

GCF of 7734 and 7742 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 7742


2 7742
7 3871
7 553
79 79
1

Prime factors of 7742 are 2,7,79. Prime factorization of 7742 in exponential form is:

7742 = 21×72×791

∴ So by taking common prime factors GCF of 7734 and 7742 is 2

Greatest Common Factor of 7734 and 7742 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 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Greatest Common Factor

We found the factors and prime factorization of 7734 and 7742. The biggest common factor number is the GCF number.
So the greatest common factor 7734 and 7742 is 2.

Also check out the Least Common Multiple of 7734 and 7742

Properties of GCF 7734 and 7742

(i) The GCF of 7734 and 7742 is associative

GCF of 7734 and 7742 = GCF of 7742 and 7734

Related Greatest Common Factor of 7734

Related Greatest Common Factor of 7742

Frequently Asked Questions on GCF of 7734 and 7742

1. What is the GCF of 7734 and 7742?

Answer: GCF of 7734 and 7742 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 7742?

Answer: Factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742. There are 12 integers that are factors of 7742. The greatest factor of 7742 is 7742.

4. How to Find the GCF of 7734 and 7742?

Answer:

Greatest Common Factor of 7734 and 7742 = 2

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7742

7742 = 2 x 7 x 7 x 79

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 7742 is 2