Greatest Common Factor of 1664 and 1670

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, 1670 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1664 and 1670 is 2.

GCF(1664,1670) = 2

GCF of 1664 and 1670

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

GCF of:
and

Greatest Common Factor of 1664 and 1670

GCF of 1664 and 1670 is 2

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 1670


2 1670
5 835
167 167
1

Prime factors of 1670 are 2,5,167. Prime factorization of 1670 in exponential form is:

1670 = 21×51×1671

∴ So by taking common prime factors GCF of 1664 and 1670 is 2

Greatest Common Factor of 1664 and 1670 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 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1,2,5,10,167,334,835,1670

Greatest Common Factor

We found the factors and prime factorization of 1664 and 1670. The biggest common factor number is the GCF number.
So the greatest common factor 1664 and 1670 is 2.

Also check out the Least Common Multiple of 1664 and 1670

Properties of GCF 1664 and 1670

(i) The GCF of 1664 and 1670 is associative

GCF of 1664 and 1670 = GCF of 1670 and 1664

Related Greatest Common Factor of 1664

Related Greatest Common Factor of 1670

Frequently Asked Questions on GCF of 1664 and 1670

1. What is the GCF of 1664 and 1670?

Answer: GCF of 1664 and 1670 is 2.

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 1670?

Answer: Factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670. There are 8 integers that are factors of 1670. The greatest factor of 1670 is 1670.

4. How to Find the GCF of 1664 and 1670?

Answer:

Greatest Common Factor of 1664 and 1670 = 2

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 1670

1670 = 2 x 5 x 167

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1664 and 1670 is 2