Greatest Common Factor of 1664 and 1669

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, 1669 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1664 and 1669 is 1.

GCF(1664,1669) = 1

GCF of 1664 and 1669

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

GCF of:
and

Greatest Common Factor of 1664 and 1669

GCF of 1664 and 1669 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 1669


1669 1669
1

Prime factors of 1669 are 1669. Prime factorization of 1669 in exponential form is:

1669 = 16691

∴ So by taking common prime factors GCF of 1664 and 1669 is 1

Greatest Common Factor of 1664 and 1669 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 1669

List of positive integer factors of 1669 that divides 1669 without a remainder.

1,1669

Greatest Common Factor

We found the factors and prime factorization of 1664 and 1669. The biggest common factor number is the GCF number.
So the greatest common factor 1664 and 1669 is 1.

Also check out the Least Common Multiple of 1664 and 1669

Properties of GCF 1664 and 1669

(i) The GCF of 1664 and 1669 is associative

GCF of 1664 and 1669 = GCF of 1669 and 1664

Related Greatest Common Factor of 1664

Related Greatest Common Factor of 1669

Frequently Asked Questions on GCF of 1664 and 1669

1. What is the GCF of 1664 and 1669?

Answer: GCF of 1664 and 1669 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 1669?

Answer: Factors of 1669 are 1, 1669. There are 2 integers that are factors of 1669. The greatest factor of 1669 is 1669.

4. How to Find the GCF of 1664 and 1669?

Answer:

Greatest Common Factor of 1664 and 1669 = 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 1669

1669 = 1669

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 1669 is 1