Greatest Common Factor of 7722 and 7724

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 7722, 7724 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7722 and 7724 is 2.

GCF(7722,7724) = 2

GCF of 7722 and 7724

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

GCF of:
and

Greatest Common Factor of 7722 and 7724

GCF of 7722 and 7724 is 2

Prime Factorization of 7722


2 7722
3 3861
3 1287
3 429
11 143
13 13
1

Prime factors of 7722 are 2,3,11,13. Prime factorization of 7722 in exponential form is:

7722 = 21×33×111×131

Prime Factorization of 7724


2 7724
2 3862
1931 1931
1

Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:

7724 = 22×19311

∴ So by taking common prime factors GCF of 7722 and 7724 is 2

Greatest Common Factor of 7722 and 7724 by matching factors method

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1,2,4,1931,3862,7724

Greatest Common Factor

We found the factors and prime factorization of 7722 and 7724. The biggest common factor number is the GCF number.
So the greatest common factor 7722 and 7724 is 2.

Also check out the Least Common Multiple of 7722 and 7724

Properties of GCF 7722 and 7724

(i) The GCF of 7722 and 7724 is associative

GCF of 7722 and 7724 = GCF of 7724 and 7722

Related Greatest Common Factor of 7722

Related Greatest Common Factor of 7724

Frequently Asked Questions on GCF of 7722 and 7724

1. What is the GCF of 7722 and 7724?

Answer: GCF of 7722 and 7724 is 2.

2. What are the Factors of 7722?

Answer: Factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722. There are 32 integers that are factors of 7722. The greatest factor of 7722 is 7722.

3. What are the Factors of 7724?

Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.

4. How to Find the GCF of 7722 and 7724?

Answer:

Greatest Common Factor of 7722 and 7724 = 2

Step 1: Find the prime factorization of 7722

7722 = 2 x 3 x 3 x 3 x 11 x 13

Step 2: Find the prime factorization of 7724

7724 = 2 x 2 x 1931

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 7722 and 7724 is 2