Greatest Common Factor of 682 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 682, 685 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 682 and 685 is 1.

GCF(682,685) = 1

GCF of 682 and 685

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

GCF of:
and

Greatest Common Factor of 682 and 685

GCF of 682 and 685 is 1

Prime Factorization of 682


2 682
11 341
31 31
1

Prime factors of 682 are 2,11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

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 682 and 685 is 1

Greatest Common Factor of 682 and 685 by matching factors method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

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 682 and 685. The biggest common factor number is the GCF number.
So the greatest common factor 682 and 685 is 1.

Also check out the Least Common Multiple of 682 and 685

Properties of GCF 682 and 685

(i) The GCF of 682 and 685 is associative

GCF of 682 and 685 = GCF of 685 and 682

Related Greatest Common Factor of 682

Related Greatest Common Factor of 685

Frequently Asked Questions on GCF of 682 and 685

1. What is the GCF of 682 and 685?

Answer: GCF of 682 and 685 is 1.

2. What are the Factors of 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

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 682 and 685?

Answer:

Greatest Common Factor of 682 and 685 = 1

Step 1: Find the prime factorization of 682

682 = 2 x 11 x 31

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 682 and 685 is 1