Greatest Common Factor of 1664 and 1667

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 1664, 1667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1664 and 1667 is 1.

GCF(1664,1667) = 1

GCF of 1664 and 1667

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

GCF of:
and

Greatest Common Factor of 1664 and 1667

GCF of 1664 and 1667 is 1

Prime Factorization of 1664


2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 1664 are 2,13. Prime factorization of 1664 in exponential form is:

1664 = 27×131

Prime Factorization of 1667


1667 1667
1

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

1667 = 16671

∴ So by taking common prime factors GCF of 1664 and 1667 is 1

Greatest Common Factor of 1664 and 1667 by matching factors method

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Factors of 1667

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

1,1667

Greatest Common Factor

We found the factors and prime factorization of 1664 and 1667. The biggest common factor number is the GCF number.
So the greatest common factor 1664 and 1667 is 1.

Also check out the Least Common Multiple of 1664 and 1667

Properties of GCF 1664 and 1667

(i) The GCF of 1664 and 1667 is associative

GCF of 1664 and 1667 = GCF of 1667 and 1664

Related Greatest Common Factor of 1664

Related Greatest Common Factor of 1667

Frequently Asked Questions on GCF of 1664 and 1667

1. What is the GCF of 1664 and 1667?

Answer: GCF of 1664 and 1667 is 1.

2. What are the Factors of 1664?

Answer: Factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. There are 16 integers that are factors of 1664. The greatest factor of 1664 is 1664.

3. 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.

4. How to Find the GCF of 1664 and 1667?

Answer:

Greatest Common Factor of 1664 and 1667 = 1

Step 1: Find the prime factorization of 1664

1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 1667

1667 = 1667

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 1664 and 1667 is 1