Greatest Common Factor of 7768 and 7774

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 7768, 7774 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7768 and 7774 is 2.

GCF(7768,7774) = 2

GCF of 7768 and 7774

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

GCF of:
and

Greatest Common Factor of 7768 and 7774

GCF of 7768 and 7774 is 2

Prime Factorization of 7768


2 7768
2 3884
2 1942
971 971
1

Prime factors of 7768 are 2,971. Prime factorization of 7768 in exponential form is:

7768 = 23×9711

Prime Factorization of 7774


2 7774
13 3887
13 299
23 23
1

Prime factors of 7774 are 2,13,23. Prime factorization of 7774 in exponential form is:

7774 = 21×132×231

∴ So by taking common prime factors GCF of 7768 and 7774 is 2

Greatest Common Factor of 7768 and 7774 by matching factors method

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1,2,13,23,26,46,169,299,338,598,3887,7774

Greatest Common Factor

We found the factors and prime factorization of 7768 and 7774. The biggest common factor number is the GCF number.
So the greatest common factor 7768 and 7774 is 2.

Also check out the Least Common Multiple of 7768 and 7774

Properties of GCF 7768 and 7774

(i) The GCF of 7768 and 7774 is associative

GCF of 7768 and 7774 = GCF of 7774 and 7768

Related Greatest Common Factor of 7768

Related Greatest Common Factor of 7774

Frequently Asked Questions on GCF of 7768 and 7774

1. What is the GCF of 7768 and 7774?

Answer: GCF of 7768 and 7774 is 2.

2. What are the Factors of 7768?

Answer: Factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768. There are 8 integers that are factors of 7768. The greatest factor of 7768 is 7768.

3. What are the Factors of 7774?

Answer: Factors of 7774 are 1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774. There are 12 integers that are factors of 7774. The greatest factor of 7774 is 7774.

4. How to Find the GCF of 7768 and 7774?

Answer:

Greatest Common Factor of 7768 and 7774 = 2

Step 1: Find the prime factorization of 7768

7768 = 2 x 2 x 2 x 971

Step 2: Find the prime factorization of 7774

7774 = 2 x 13 x 13 x 23

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 7768 and 7774 is 2