Greatest Common Factor of 684 and 689

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 684, 689 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 684 and 689 is 1.

GCF(684,689) = 1

GCF of 684 and 689

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

GCF of:
and

Greatest Common Factor of 684 and 689

GCF of 684 and 689 is 1

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

Prime Factorization of 689


13 689
53 53
1

Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:

689 = 131×531

∴ So by taking common prime factors GCF of 684 and 689 is 1

Greatest Common Factor of 684 and 689 by matching factors method

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

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors and prime factorization of 684 and 689. The biggest common factor number is the GCF number.
So the greatest common factor 684 and 689 is 1.

Also check out the Least Common Multiple of 684 and 689

Properties of GCF 684 and 689

(i) The GCF of 684 and 689 is associative

GCF of 684 and 689 = GCF of 689 and 684

Related Greatest Common Factor of 684

Related Greatest Common Factor of 689

Frequently Asked Questions on GCF of 684 and 689

1. What is the GCF of 684 and 689?

Answer: GCF of 684 and 689 is 1.

2. 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.

3. What are the Factors of 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

4. How to Find the GCF of 684 and 689?

Answer:

Greatest Common Factor of 684 and 689 = 1

Step 1: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 689

689 = 13 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 684 and 689 is 1