Greatest Common Factor of 1664 and 1668

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, 1668 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1664 and 1668 is 4.

GCF(1664,1668) = 4

GCF of 1664 and 1668

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

GCF of:
and

Greatest Common Factor of 1664 and 1668

GCF of 1664 and 1668 is 4

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 1668


2 1668
2 834
3 417
139 139
1

Prime factors of 1668 are 2,3,139. Prime factorization of 1668 in exponential form is:

1668 = 22×31×1391

∴ So by taking common prime factors GCF of 1664 and 1668 is 4

Greatest Common Factor of 1664 and 1668 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 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Greatest Common Factor

We found the factors and prime factorization of 1664 and 1668. The biggest common factor number is the GCF number.
So the greatest common factor 1664 and 1668 is 4.

Also check out the Least Common Multiple of 1664 and 1668

Properties of GCF 1664 and 1668

(i) The GCF of 1664 and 1668 is associative

GCF of 1664 and 1668 = GCF of 1668 and 1664

Related Greatest Common Factor of 1664

Related Greatest Common Factor of 1668

Frequently Asked Questions on GCF of 1664 and 1668

1. What is the GCF of 1664 and 1668?

Answer: GCF of 1664 and 1668 is 4.

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 1668?

Answer: Factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668. There are 12 integers that are factors of 1668. The greatest factor of 1668 is 1668.

4. How to Find the GCF of 1664 and 1668?

Answer:

Greatest Common Factor of 1664 and 1668 = 4

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 1668

1668 = 2 x 2 x 3 x 139

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1664 and 1668 is 4