Greatest Common Factor of 1656 and 1662

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 1656, 1662 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1656 and 1662 is 6.

GCF(1656,1662) = 6

GCF of 1656 and 1662

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

GCF of:
and

Greatest Common Factor of 1656 and 1662

GCF of 1656 and 1662 is 6

Prime Factorization of 1656


2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 1656 are 2,3,23. Prime factorization of 1656 in exponential form is:

1656 = 23×32×231

Prime Factorization of 1662


2 1662
3 831
277 277
1

Prime factors of 1662 are 2,3,277. Prime factorization of 1662 in exponential form is:

1662 = 21×31×2771

∴ So by taking common prime factors GCF of 1656 and 1662 is 6

Greatest Common Factor of 1656 and 1662 by matching factors method

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656

Factors of 1662

List of positive integer factors of 1662 that divides 1662 without a remainder.

1,2,3,6,277,554,831,1662

Greatest Common Factor

We found the factors and prime factorization of 1656 and 1662. The biggest common factor number is the GCF number.
So the greatest common factor 1656 and 1662 is 6.

Also check out the Least Common Multiple of 1656 and 1662

Properties of GCF 1656 and 1662

(i) The GCF of 1656 and 1662 is associative

GCF of 1656 and 1662 = GCF of 1662 and 1656

Related Greatest Common Factor of 1656

Related Greatest Common Factor of 1662

Frequently Asked Questions on GCF of 1656 and 1662

1. What is the GCF of 1656 and 1662?

Answer: GCF of 1656 and 1662 is 6.

2. What are the Factors of 1656?

Answer: Factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656. There are 24 integers that are factors of 1656. The greatest factor of 1656 is 1656.

3. What are the Factors of 1662?

Answer: Factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662. There are 8 integers that are factors of 1662. The greatest factor of 1662 is 1662.

4. How to Find the GCF of 1656 and 1662?

Answer:

Greatest Common Factor of 1656 and 1662 = 6

Step 1: Find the prime factorization of 1656

1656 = 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 1662

1662 = 2 x 3 x 277

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1656 and 1662 is 6