Greatest Common Factor of 7674 and 7678

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 7674, 7678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7674 and 7678 is 2.

GCF(7674,7678) = 2

GCF of 7674 and 7678

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

GCF of:
and

Greatest Common Factor of 7674 and 7678

GCF of 7674 and 7678 is 2

Prime Factorization of 7674


2 7674
3 3837
1279 1279
1

Prime factors of 7674 are 2,3,1279. Prime factorization of 7674 in exponential form is:

7674 = 21×31×12791

Prime Factorization of 7678


2 7678
11 3839
349 349
1

Prime factors of 7678 are 2,11,349. Prime factorization of 7678 in exponential form is:

7678 = 21×111×3491

∴ So by taking common prime factors GCF of 7674 and 7678 is 2

Greatest Common Factor of 7674 and 7678 by matching factors method

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1,2,3,6,1279,2558,3837,7674

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors and prime factorization of 7674 and 7678. The biggest common factor number is the GCF number.
So the greatest common factor 7674 and 7678 is 2.

Also check out the Least Common Multiple of 7674 and 7678

Properties of GCF 7674 and 7678

(i) The GCF of 7674 and 7678 is associative

GCF of 7674 and 7678 = GCF of 7678 and 7674

Related Greatest Common Factor of 7674

Related Greatest Common Factor of 7678

Frequently Asked Questions on GCF of 7674 and 7678

1. What is the GCF of 7674 and 7678?

Answer: GCF of 7674 and 7678 is 2.

2. What are the Factors of 7674?

Answer: Factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674. There are 8 integers that are factors of 7674. The greatest factor of 7674 is 7674.

3. What are the Factors of 7678?

Answer: Factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678. There are 8 integers that are factors of 7678. The greatest factor of 7678 is 7678.

4. How to Find the GCF of 7674 and 7678?

Answer:

Greatest Common Factor of 7674 and 7678 = 2

Step 1: Find the prime factorization of 7674

7674 = 2 x 3 x 1279

Step 2: Find the prime factorization of 7678

7678 = 2 x 11 x 349

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 7674 and 7678 is 2