Greatest Common Factor of 1664 and 1671

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, 1671 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1664 and 1671 is 1.

GCF(1664,1671) = 1

GCF of 1664 and 1671

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

GCF of:
and

Greatest Common Factor of 1664 and 1671

GCF of 1664 and 1671 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 1671


3 1671
557 557
1

Prime factors of 1671 are 3,557. Prime factorization of 1671 in exponential form is:

1671 = 31×5571

∴ So by taking common prime factors GCF of 1664 and 1671 is 1

Greatest Common Factor of 1664 and 1671 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 1671

List of positive integer factors of 1671 that divides 1671 without a remainder.

1,3,557,1671

Greatest Common Factor

We found the factors and prime factorization of 1664 and 1671. The biggest common factor number is the GCF number.
So the greatest common factor 1664 and 1671 is 1.

Also check out the Least Common Multiple of 1664 and 1671

Properties of GCF 1664 and 1671

(i) The GCF of 1664 and 1671 is associative

GCF of 1664 and 1671 = GCF of 1671 and 1664

Related Greatest Common Factor of 1664

Related Greatest Common Factor of 1671

Frequently Asked Questions on GCF of 1664 and 1671

1. What is the GCF of 1664 and 1671?

Answer: GCF of 1664 and 1671 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 1671?

Answer: Factors of 1671 are 1, 3, 557, 1671. There are 4 integers that are factors of 1671. The greatest factor of 1671 is 1671.

4. How to Find the GCF of 1664 and 1671?

Answer:

Greatest Common Factor of 1664 and 1671 = 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 1671

1671 = 3 x 557

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 1671 is 1