Greatest Common Factor of 1667 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 1667, 1675 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1667 and 1675 is 1.

GCF(1667,1675) = 1

GCF of 1667 and 1675

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

GCF of:
and

Greatest Common Factor of 1667 and 1675

GCF of 1667 and 1675 is 1

Prime Factorization of 1667


1667 1667
1

Prime factors of 1667 are 1667. Prime factorization of 1667 in exponential form is:

1667 = 16671

Prime Factorization of 1675


5 1675
5 335
67 67
1

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

1675 = 52×671

∴ So by taking common prime factors GCF of 1667 and 1675 is 1

Greatest Common Factor of 1667 and 1675 by matching factors method

Factors of 1667

List of positive integer factors of 1667 that divides 1667 without a remainder.

1,1667

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 1667 and 1675. The biggest common factor number is the GCF number.
So the greatest common factor 1667 and 1675 is 1.

Also check out the Least Common Multiple of 1667 and 1675

Properties of GCF 1667 and 1675

(i) The GCF of 1667 and 1675 is associative

GCF of 1667 and 1675 = GCF of 1675 and 1667

Related Greatest Common Factor of 1667

Related Greatest Common Factor of 1675

Frequently Asked Questions on GCF of 1667 and 1675

1. What is the GCF of 1667 and 1675?

Answer: GCF of 1667 and 1675 is 1.

2. What are the Factors of 1667?

Answer: Factors of 1667 are 1, 1667. There are 2 integers that are factors of 1667. The greatest factor of 1667 is 1667.

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 1667 and 1675?

Answer:

Greatest Common Factor of 1667 and 1675 = 1

Step 1: Find the prime factorization of 1667

1667 = 1667

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 = = 1

Step 4: Therefore, the greatest common factor of 1667 and 1675 is 1