Greatest Common Factor of 9674 and 9682

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 9674, 9682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9674 and 9682 is 2.

GCF(9674,9682) = 2

GCF of 9674 and 9682

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

GCF of:
and

Greatest Common Factor of 9674 and 9682

GCF of 9674 and 9682 is 2

Prime Factorization of 9674


2 9674
7 4837
691 691
1

Prime factors of 9674 are 2,7,691. Prime factorization of 9674 in exponential form is:

9674 = 21×71×6911

Prime Factorization of 9682


2 9682
47 4841
103 103
1

Prime factors of 9682 are 2,47,103. Prime factorization of 9682 in exponential form is:

9682 = 21×471×1031

∴ So by taking common prime factors GCF of 9674 and 9682 is 2

Greatest Common Factor of 9674 and 9682 by matching factors method

Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1,2,7,14,691,1382,4837,9674

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1,2,47,94,103,206,4841,9682

Greatest Common Factor

We found the factors and prime factorization of 9674 and 9682. The biggest common factor number is the GCF number.
So the greatest common factor 9674 and 9682 is 2.

Also check out the Least Common Multiple of 9674 and 9682

Properties of GCF 9674 and 9682

(i) The GCF of 9674 and 9682 is associative

GCF of 9674 and 9682 = GCF of 9682 and 9674

Related Greatest Common Factor of 9674

Related Greatest Common Factor of 9682

Frequently Asked Questions on GCF of 9674 and 9682

1. What is the GCF of 9674 and 9682?

Answer: GCF of 9674 and 9682 is 2.

2. What are the Factors of 9674?

Answer: Factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674. There are 8 integers that are factors of 9674. The greatest factor of 9674 is 9674.

3. What are the Factors of 9682?

Answer: Factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682. There are 8 integers that are factors of 9682. The greatest factor of 9682 is 9682.

4. How to Find the GCF of 9674 and 9682?

Answer:

Greatest Common Factor of 9674 and 9682 = 2

Step 1: Find the prime factorization of 9674

9674 = 2 x 7 x 691

Step 2: Find the prime factorization of 9682

9682 = 2 x 47 x 103

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 9674 and 9682 is 2