Greatest Common Factor of 684 and 685

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

Greatest common factor (GCF) of 684 and 685 is 1.

GCF(684,685) = 1

GCF of 684 and 685

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

GCF of:
and

Greatest Common Factor of 684 and 685

GCF of 684 and 685 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 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

∴ So by taking common prime factors GCF of 684 and 685 is 1

Greatest Common Factor of 684 and 685 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 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors and prime factorization of 684 and 685. The biggest common factor number is the GCF number.
So the greatest common factor 684 and 685 is 1.

Also check out the Least Common Multiple of 684 and 685

Properties of GCF 684 and 685

(i) The GCF of 684 and 685 is associative

GCF of 684 and 685 = GCF of 685 and 684

Related Greatest Common Factor of 684

Related Greatest Common Factor of 685

Frequently Asked Questions on GCF of 684 and 685

1. What is the GCF of 684 and 685?

Answer: GCF of 684 and 685 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 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the GCF of 684 and 685?

Answer:

Greatest Common Factor of 684 and 685 = 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 685

685 = 5 x 137

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 685 is 1