Greatest Common Factor of 1670 and 1678

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 1670, 1678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1670 and 1678 is 2.

GCF(1670,1678) = 2

GCF of 1670 and 1678

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

GCF of:
and

Greatest Common Factor of 1670 and 1678

GCF of 1670 and 1678 is 2

Prime Factorization of 1670


2 1670
5 835
167 167
1

Prime factors of 1670 are 2,5,167. Prime factorization of 1670 in exponential form is:

1670 = 21×51×1671

Prime Factorization of 1678


2 1678
839 839
1

Prime factors of 1678 are 2,839. Prime factorization of 1678 in exponential form is:

1678 = 21×8391

∴ So by taking common prime factors GCF of 1670 and 1678 is 2

Greatest Common Factor of 1670 and 1678 by matching factors method

Factors of 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1,2,5,10,167,334,835,1670

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Greatest Common Factor

We found the factors and prime factorization of 1670 and 1678. The biggest common factor number is the GCF number.
So the greatest common factor 1670 and 1678 is 2.

Also check out the Least Common Multiple of 1670 and 1678

Properties of GCF 1670 and 1678

(i) The GCF of 1670 and 1678 is associative

GCF of 1670 and 1678 = GCF of 1678 and 1670

Related Greatest Common Factor of 1670

Related Greatest Common Factor of 1678

Frequently Asked Questions on GCF of 1670 and 1678

1. What is the GCF of 1670 and 1678?

Answer: GCF of 1670 and 1678 is 2.

2. What are the Factors of 1670?

Answer: Factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670. There are 8 integers that are factors of 1670. The greatest factor of 1670 is 1670.

3. What are the Factors of 1678?

Answer: Factors of 1678 are 1, 2, 839, 1678. There are 4 integers that are factors of 1678. The greatest factor of 1678 is 1678.

4. How to Find the GCF of 1670 and 1678?

Answer:

Greatest Common Factor of 1670 and 1678 = 2

Step 1: Find the prime factorization of 1670

1670 = 2 x 5 x 167

Step 2: Find the prime factorization of 1678

1678 = 2 x 839

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1670 and 1678 is 2