Greatest Common Factor of 681 and 684

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 681, 684 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 681 and 684 is 3.

GCF(681,684) = 3

GCF of 681 and 684

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

GCF of:
and

Greatest Common Factor of 681 and 684

GCF of 681 and 684 is 3

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

Prime Factorization of 684


2 684
2 342
3 171
3 57
19 19
1

Prime factors of 684 are 2,3,19. Prime factorization of 684 in exponential form is:

684 = 22×32×191

∴ So by taking common prime factors GCF of 681 and 684 is 3

Greatest Common Factor of 681 and 684 by matching factors method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors and prime factorization of 681 and 684. The biggest common factor number is the GCF number.
So the greatest common factor 681 and 684 is 3.

Also check out the Least Common Multiple of 681 and 684

Properties of GCF 681 and 684

(i) The GCF of 681 and 684 is associative

GCF of 681 and 684 = GCF of 684 and 681

Related Greatest Common Factor of 681

Related Greatest Common Factor of 684

Frequently Asked Questions on GCF of 681 and 684

1. What is the GCF of 681 and 684?

Answer: GCF of 681 and 684 is 3.

2. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

3. What are the Factors of 684?

Answer: Factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684. There are 18 integers that are factors of 684. The greatest factor of 684 is 684.

4. How to Find the GCF of 681 and 684?

Answer:

Greatest Common Factor of 681 and 684 = 3

Step 1: Find the prime factorization of 681

681 = 3 x 227

Step 2: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 681 and 684 is 3