Greatest Common Factor of 673 and 680

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 673, 680 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 673 and 680 is 1.

GCF(673,680) = 1

GCF of 673 and 680

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

GCF of:
and

Greatest Common Factor of 673 and 680

GCF of 673 and 680 is 1

Prime Factorization of 673


673 673
1

Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:

673 = 6731

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2.Prime factorization of 680 in exponential form is:

680 = 23×51×171

∴ So by taking common prime factors GCF of 673 and 680 is 1

Greatest Common Factor of 673 and 680 by matching factors method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors and prime factorization of 673 and 680. The biggest common factor number is the GCF number.
So the greatest common factor 673 and 680 is 1.

Also check out the Least Common Multiple of 673 and 680

Properties of GCF 673 and 680

(i) The GCF of 673 and 680 is associative

GCF of 673 and 680 = GCF of 680 and 673

Related Greatest Common Factor of 673

Related Greatest Common Factor of 680

Frequently Asked Questions on GCF of 673 and 680

1. What is the GCF of 673 and 680?

Answer: GCF of 673 and 680 is 1.

2. What are the Factors of 673?

Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.

3. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

4. How to Find the GCF of 673 and 680?

Answer:

Greatest Common Factor of 673 and 680 = 1

Step 1: Find the prime factorization of 673

673 = 673

Step 2: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

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 673 and 680 is 1