Greatest Common Factor of 1668 and 1673

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 1668, 1673 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1668 and 1673 is 1.

GCF(1668,1673) = 1

GCF of 1668 and 1673

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

GCF of:
and

Greatest Common Factor of 1668 and 1673

GCF of 1668 and 1673 is 1

Prime Factorization of 1668


2 1668
2 834
3 417
139 139
1

Prime factors of 1668 are 2,3,139. Prime factorization of 1668 in exponential form is:

1668 = 22×31×1391

Prime Factorization of 1673


7 1673
239 239
1

Prime factors of 1673 are 7,239. Prime factorization of 1673 in exponential form is:

1673 = 71×2391

∴ So by taking common prime factors GCF of 1668 and 1673 is 1

Greatest Common Factor of 1668 and 1673 by matching factors method

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Factors of 1673

List of positive integer factors of 1673 that divides 1673 without a remainder.

1,7,239,1673

Greatest Common Factor

We found the factors and prime factorization of 1668 and 1673. The biggest common factor number is the GCF number.
So the greatest common factor 1668 and 1673 is 1.

Also check out the Least Common Multiple of 1668 and 1673

Properties of GCF 1668 and 1673

(i) The GCF of 1668 and 1673 is associative

GCF of 1668 and 1673 = GCF of 1673 and 1668

Related Greatest Common Factor of 1668

Related Greatest Common Factor of 1673

Frequently Asked Questions on GCF of 1668 and 1673

1. What is the GCF of 1668 and 1673?

Answer: GCF of 1668 and 1673 is 1.

2. What are the Factors of 1668?

Answer: Factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668. There are 12 integers that are factors of 1668. The greatest factor of 1668 is 1668.

3. What are the Factors of 1673?

Answer: Factors of 1673 are 1, 7, 239, 1673. There are 4 integers that are factors of 1673. The greatest factor of 1673 is 1673.

4. How to Find the GCF of 1668 and 1673?

Answer:

Greatest Common Factor of 1668 and 1673 = 1

Step 1: Find the prime factorization of 1668

1668 = 2 x 2 x 3 x 139

Step 2: Find the prime factorization of 1673

1673 = 7 x 239

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 1668 and 1673 is 1