Greatest Common Factor of 1679 and 1684

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 1679, 1684 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1679 and 1684 is 1.

GCF(1679,1684) = 1

GCF of 1679 and 1684

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

GCF of:
and

Greatest Common Factor of 1679 and 1684

GCF of 1679 and 1684 is 1

Prime Factorization of 1679


23 1679
73 73
1

Prime factors of 1679 are 23,73. Prime factorization of 1679 in exponential form is:

1679 = 231×731

Prime Factorization of 1684


2 1684
2 842
421 421
1

Prime factors of 1684 are 2,421. Prime factorization of 1684 in exponential form is:

1684 = 22×4211

∴ So by taking common prime factors GCF of 1679 and 1684 is 1

Greatest Common Factor of 1679 and 1684 by matching factors method

Factors of 1679

List of positive integer factors of 1679 that divides 1679 without a remainder.

1,23,73,1679

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Greatest Common Factor

We found the factors and prime factorization of 1679 and 1684. The biggest common factor number is the GCF number.
So the greatest common factor 1679 and 1684 is 1.

Also check out the Least Common Multiple of 1679 and 1684

Properties of GCF 1679 and 1684

(i) The GCF of 1679 and 1684 is associative

GCF of 1679 and 1684 = GCF of 1684 and 1679

Related Greatest Common Factor of 1679

Related Greatest Common Factor of 1684

Frequently Asked Questions on GCF of 1679 and 1684

1. What is the GCF of 1679 and 1684?

Answer: GCF of 1679 and 1684 is 1.

2. What are the Factors of 1679?

Answer: Factors of 1679 are 1, 23, 73, 1679. There are 4 integers that are factors of 1679. The greatest factor of 1679 is 1679.

3. What are the Factors of 1684?

Answer: Factors of 1684 are 1, 2, 4, 421, 842, 1684. There are 6 integers that are factors of 1684. The greatest factor of 1684 is 1684.

4. How to Find the GCF of 1679 and 1684?

Answer:

Greatest Common Factor of 1679 and 1684 = 1

Step 1: Find the prime factorization of 1679

1679 = 23 x 73

Step 2: Find the prime factorization of 1684

1684 = 2 x 2 x 421

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 1679 and 1684 is 1