Greatest Common Factor of 7674 and 7682

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, 7682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7674 and 7682 is 2.

GCF(7674,7682) = 2

GCF of 7674 and 7682

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

GCF of:
and

Greatest Common Factor of 7674 and 7682

GCF of 7674 and 7682 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 7682


2 7682
23 3841
167 167
1

Prime factors of 7682 are 2,23,167. Prime factorization of 7682 in exponential form is:

7682 = 21×231×1671

∴ So by taking common prime factors GCF of 7674 and 7682 is 2

Greatest Common Factor of 7674 and 7682 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 7682

List of positive integer factors of 7682 that divides 7682 without a remainder.

1,2,23,46,167,334,3841,7682

Greatest Common Factor

We found the factors and prime factorization of 7674 and 7682. The biggest common factor number is the GCF number.
So the greatest common factor 7674 and 7682 is 2.

Also check out the Least Common Multiple of 7674 and 7682

Properties of GCF 7674 and 7682

(i) The GCF of 7674 and 7682 is associative

GCF of 7674 and 7682 = GCF of 7682 and 7674

Related Greatest Common Factor of 7674

Related Greatest Common Factor of 7682

Frequently Asked Questions on GCF of 7674 and 7682

1. What is the GCF of 7674 and 7682?

Answer: GCF of 7674 and 7682 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 7682?

Answer: Factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682. There are 8 integers that are factors of 7682. The greatest factor of 7682 is 7682.

4. How to Find the GCF of 7674 and 7682?

Answer:

Greatest Common Factor of 7674 and 7682 = 2

Step 1: Find the prime factorization of 7674

7674 = 2 x 3 x 1279

Step 2: Find the prime factorization of 7682

7682 = 2 x 23 x 167

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 7682 is 2