Greatest Common Factor of 1654 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 1654, 1662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1654 and 1662 is 2.

GCF(1654,1662) = 2

GCF of 1654 and 1662

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

GCF of:
and

Greatest Common Factor of 1654 and 1662

GCF of 1654 and 1662 is 2

Prime Factorization of 1654


2 1654
827 827
1

Prime factors of 1654 are 2,827. Prime factorization of 1654 in exponential form is:

1654 = 21×8271

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 1654 and 1662 is 2

Greatest Common Factor of 1654 and 1662 by matching factors method

Factors of 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1,2,827,1654

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 1654 and 1662. The biggest common factor number is the GCF number.
So the greatest common factor 1654 and 1662 is 2.

Also check out the Least Common Multiple of 1654 and 1662

Properties of GCF 1654 and 1662

(i) The GCF of 1654 and 1662 is associative

GCF of 1654 and 1662 = GCF of 1662 and 1654

Related Greatest Common Factor of 1654

Related Greatest Common Factor of 1662

Frequently Asked Questions on GCF of 1654 and 1662

1. What is the GCF of 1654 and 1662?

Answer: GCF of 1654 and 1662 is 2.

2. What are the Factors of 1654?

Answer: Factors of 1654 are 1, 2, 827, 1654. There are 4 integers that are factors of 1654. The greatest factor of 1654 is 1654.

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 1654 and 1662?

Answer:

Greatest Common Factor of 1654 and 1662 = 2

Step 1: Find the prime factorization of 1654

1654 = 2 x 827

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

Step 4: Therefore, the greatest common factor of 1654 and 1662 is 2