Greatest Common Factor of 673 and 674

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

Greatest common factor (GCF) of 673 and 674 is 1.

GCF(673,674) = 1

GCF of 673 and 674

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

GCF of:
and

Greatest Common Factor of 673 and 674

GCF of 673 and 674 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 674


2 674
337 337
1

Prime factors of 674 are 2.Prime factorization of 674 in exponential form is:

674 = 21×3371

∴ So by taking common prime factors GCF of 673 and 674 is 1

Greatest Common Factor of 673 and 674 by matching factors method

Factors of 673

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

1,673

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors and prime factorization of 673 and 674. The biggest common factor number is the GCF number.
So the greatest common factor 673 and 674 is 1.

Also check out the Least Common Multiple of 673 and 674

Properties of GCF 673 and 674

(i) The GCF of 673 and 674 is associative

GCF of 673 and 674 = GCF of 674 and 673

Related Greatest Common Factor of 673

Related Greatest Common Factor of 674

Frequently Asked Questions on GCF of 673 and 674

1. What is the GCF of 673 and 674?

Answer: GCF of 673 and 674 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 674?

Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.

4. How to Find the GCF of 673 and 674?

Answer:

Greatest Common Factor of 673 and 674 = 1

Step 1: Find the prime factorization of 673

673 = 673

Step 2: Find the prime factorization of 674

674 = 2 x 337

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 674 is 1