Greatest Common Factor of 1670 and 1675

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, 1675 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1670 and 1675 is 5.

GCF(1670,1675) = 5

GCF of 1670 and 1675

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

GCF of:
and

Greatest Common Factor of 1670 and 1675

GCF of 1670 and 1675 is 5

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 1675


5 1675
5 335
67 67
1

Prime factors of 1675 are 5,67. Prime factorization of 1675 in exponential form is:

1675 = 52×671

∴ So by taking common prime factors GCF of 1670 and 1675 is 5

Greatest Common Factor of 1670 and 1675 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 1675

List of positive integer factors of 1675 that divides 1675 without a remainder.

1,5,25,67,335,1675

Greatest Common Factor

We found the factors and prime factorization of 1670 and 1675. The biggest common factor number is the GCF number.
So the greatest common factor 1670 and 1675 is 5.

Also check out the Least Common Multiple of 1670 and 1675

Properties of GCF 1670 and 1675

(i) The GCF of 1670 and 1675 is associative

GCF of 1670 and 1675 = GCF of 1675 and 1670

Related Greatest Common Factor of 1670

Related Greatest Common Factor of 1675

Frequently Asked Questions on GCF of 1670 and 1675

1. What is the GCF of 1670 and 1675?

Answer: GCF of 1670 and 1675 is 5.

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 1675?

Answer: Factors of 1675 are 1, 5, 25, 67, 335, 1675. There are 6 integers that are factors of 1675. The greatest factor of 1675 is 1675.

4. How to Find the GCF of 1670 and 1675?

Answer:

Greatest Common Factor of 1670 and 1675 = 5

Step 1: Find the prime factorization of 1670

1670 = 2 x 5 x 167

Step 2: Find the prime factorization of 1675

1675 = 5 x 5 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1670 and 1675 is 5