Greatest Common Factor of 7714 and 7722

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 7714, 7722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7714 and 7722 is 2.

GCF(7714,7722) = 2

GCF of 7714 and 7722

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

GCF of:
and

Greatest Common Factor of 7714 and 7722

GCF of 7714 and 7722 is 2

Prime Factorization of 7714


2 7714
7 3857
19 551
29 29
1

Prime factors of 7714 are 2,7,19,29. Prime factorization of 7714 in exponential form is:

7714 = 21×71×191×291

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

∴ So by taking common prime factors GCF of 7714 and 7722 is 2

Greatest Common Factor of 7714 and 7722 by matching factors method

Factors of 7714

List of positive integer factors of 7714 that divides 7714 without a remainder.

1,2,7,14,19,29,38,58,133,203,266,406,551,1102,3857,7714

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

Greatest Common Factor

We found the factors and prime factorization of 7714 and 7722. The biggest common factor number is the GCF number.
So the greatest common factor 7714 and 7722 is 2.

Also check out the Least Common Multiple of 7714 and 7722

Properties of GCF 7714 and 7722

(i) The GCF of 7714 and 7722 is associative

GCF of 7714 and 7722 = GCF of 7722 and 7714

Related Greatest Common Factor of 7714

Related Greatest Common Factor of 7722

Frequently Asked Questions on GCF of 7714 and 7722

1. What is the GCF of 7714 and 7722?

Answer: GCF of 7714 and 7722 is 2.

2. What are the Factors of 7714?

Answer: Factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714. There are 16 integers that are factors of 7714. The greatest factor of 7714 is 7714.

3. 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.

4. How to Find the GCF of 7714 and 7722?

Answer:

Greatest Common Factor of 7714 and 7722 = 2

Step 1: Find the prime factorization of 7714

7714 = 2 x 7 x 19 x 29

Step 2: Find the prime factorization of 7722

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

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 7714 and 7722 is 2