Greatest Common Factor of 1674 and 1679

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 1674, 1679 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1674 and 1679 is 1.

GCF(1674,1679) = 1

GCF of 1674 and 1679

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

GCF of:
and

Greatest Common Factor of 1674 and 1679

GCF of 1674 and 1679 is 1

Prime Factorization of 1674


2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 1674 are 2,3,31. Prime factorization of 1674 in exponential form is:

1674 = 21×33×311

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

∴ So by taking common prime factors GCF of 1674 and 1679 is 1

Greatest Common Factor of 1674 and 1679 by matching factors method

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674

Factors of 1679

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

1,23,73,1679

Greatest Common Factor

We found the factors and prime factorization of 1674 and 1679. The biggest common factor number is the GCF number.
So the greatest common factor 1674 and 1679 is 1.

Also check out the Least Common Multiple of 1674 and 1679

Properties of GCF 1674 and 1679

(i) The GCF of 1674 and 1679 is associative

GCF of 1674 and 1679 = GCF of 1679 and 1674

Related Greatest Common Factor of 1674

Related Greatest Common Factor of 1679

Frequently Asked Questions on GCF of 1674 and 1679

1. What is the GCF of 1674 and 1679?

Answer: GCF of 1674 and 1679 is 1.

2. What are the Factors of 1674?

Answer: Factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674. There are 16 integers that are factors of 1674. The greatest factor of 1674 is 1674.

3. 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.

4. How to Find the GCF of 1674 and 1679?

Answer:

Greatest Common Factor of 1674 and 1679 = 1

Step 1: Find the prime factorization of 1674

1674 = 2 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 1679

1679 = 23 x 73

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 1674 and 1679 is 1