Greatest Common Factor of 7742 and 7749

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 7742, 7749 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7742 and 7749 is 7.

GCF(7742,7749) = 7

GCF of 7742 and 7749

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

GCF of:
and

Greatest Common Factor of 7742 and 7749

GCF of 7742 and 7749 is 7

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

Prime Factorization of 7749


3 7749
3 2583
3 861
7 287
41 41
1

Prime factors of 7749 are 3,7,41. Prime factorization of 7749 in exponential form is:

7749 = 33×71×411

∴ So by taking common prime factors GCF of 7742 and 7749 is 7

Greatest Common Factor of 7742 and 7749 by matching factors method

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

Factors of 7749

List of positive integer factors of 7749 that divides 7749 without a remainder.

1,3,7,9,21,27,41,63,123,189,287,369,861,1107,2583,7749

Greatest Common Factor

We found the factors and prime factorization of 7742 and 7749. The biggest common factor number is the GCF number.
So the greatest common factor 7742 and 7749 is 7.

Also check out the Least Common Multiple of 7742 and 7749

Properties of GCF 7742 and 7749

(i) The GCF of 7742 and 7749 is associative

GCF of 7742 and 7749 = GCF of 7749 and 7742

Related Greatest Common Factor of 7742

Related Greatest Common Factor of 7749

Frequently Asked Questions on GCF of 7742 and 7749

1. What is the GCF of 7742 and 7749?

Answer: GCF of 7742 and 7749 is 7.

2. 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.

3. What are the Factors of 7749?

Answer: Factors of 7749 are 1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583, 7749. There are 16 integers that are factors of 7749. The greatest factor of 7749 is 7749.

4. How to Find the GCF of 7742 and 7749?

Answer:

Greatest Common Factor of 7742 and 7749 = 7

Step 1: Find the prime factorization of 7742

7742 = 2 x 7 x 7 x 79

Step 2: Find the prime factorization of 7749

7749 = 3 x 3 x 3 x 7 x 41

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7742 and 7749 is 7