Greatest Common Factor of 7707 and 7714

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 7707, 7714 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7707 and 7714 is 7.

GCF(7707,7714) = 7

GCF of 7707 and 7714

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

GCF of:
and

Greatest Common Factor of 7707 and 7714

GCF of 7707 and 7714 is 7

Prime Factorization of 7707


3 7707
7 2569
367 367
1

Prime factors of 7707 are 3,7,367. Prime factorization of 7707 in exponential form is:

7707 = 31×71×3671

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

∴ So by taking common prime factors GCF of 7707 and 7714 is 7

Greatest Common Factor of 7707 and 7714 by matching factors method

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1,3,7,21,367,1101,2569,7707

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

Greatest Common Factor

We found the factors and prime factorization of 7707 and 7714. The biggest common factor number is the GCF number.
So the greatest common factor 7707 and 7714 is 7.

Also check out the Least Common Multiple of 7707 and 7714

Properties of GCF 7707 and 7714

(i) The GCF of 7707 and 7714 is associative

GCF of 7707 and 7714 = GCF of 7714 and 7707

Related Greatest Common Factor of 7707

Related Greatest Common Factor of 7714

Frequently Asked Questions on GCF of 7707 and 7714

1. What is the GCF of 7707 and 7714?

Answer: GCF of 7707 and 7714 is 7.

2. What are the Factors of 7707?

Answer: Factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707. There are 8 integers that are factors of 7707. The greatest factor of 7707 is 7707.

3. 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.

4. How to Find the GCF of 7707 and 7714?

Answer:

Greatest Common Factor of 7707 and 7714 = 7

Step 1: Find the prime factorization of 7707

7707 = 3 x 7 x 367

Step 2: Find the prime factorization of 7714

7714 = 2 x 7 x 19 x 29

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 7707 and 7714 is 7