Greatest Common Factor of 9674 and 9681

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, 9681 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9674 and 9681 is 7.

GCF(9674,9681) = 7

GCF of 9674 and 9681

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

GCF of:
and

Greatest Common Factor of 9674 and 9681

GCF of 9674 and 9681 is 7

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 9681


3 9681
7 3227
461 461
1

Prime factors of 9681 are 3,7,461. Prime factorization of 9681 in exponential form is:

9681 = 31×71×4611

∴ So by taking common prime factors GCF of 9674 and 9681 is 7

Greatest Common Factor of 9674 and 9681 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 9681

List of positive integer factors of 9681 that divides 9681 without a remainder.

1,3,7,21,461,1383,3227,9681

Greatest Common Factor

We found the factors and prime factorization of 9674 and 9681. The biggest common factor number is the GCF number.
So the greatest common factor 9674 and 9681 is 7.

Also check out the Least Common Multiple of 9674 and 9681

Properties of GCF 9674 and 9681

(i) The GCF of 9674 and 9681 is associative

GCF of 9674 and 9681 = GCF of 9681 and 9674

Related Greatest Common Factor of 9674

Related Greatest Common Factor of 9681

Frequently Asked Questions on GCF of 9674 and 9681

1. What is the GCF of 9674 and 9681?

Answer: GCF of 9674 and 9681 is 7.

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 9681?

Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.

4. How to Find the GCF of 9674 and 9681?

Answer:

Greatest Common Factor of 9674 and 9681 = 7

Step 1: Find the prime factorization of 9674

9674 = 2 x 7 x 691

Step 2: Find the prime factorization of 9681

9681 = 3 x 7 x 461

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 9674 and 9681 is 7