Greatest Common Factor of 1654 and 1656

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, 1656 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1654 and 1656 is 2.

GCF(1654,1656) = 2

GCF of 1654 and 1656

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

GCF of:
and

Greatest Common Factor of 1654 and 1656

GCF of 1654 and 1656 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 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

∴ So by taking common prime factors GCF of 1654 and 1656 is 2

Greatest Common Factor of 1654 and 1656 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 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

Greatest Common Factor

We found the factors and prime factorization of 1654 and 1656. The biggest common factor number is the GCF number.
So the greatest common factor 1654 and 1656 is 2.

Also check out the Least Common Multiple of 1654 and 1656

Properties of GCF 1654 and 1656

(i) The GCF of 1654 and 1656 is associative

GCF of 1654 and 1656 = GCF of 1656 and 1654

Related Greatest Common Factor of 1654

Related Greatest Common Factor of 1656

Frequently Asked Questions on GCF of 1654 and 1656

1. What is the GCF of 1654 and 1656?

Answer: GCF of 1654 and 1656 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 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.

4. How to Find the GCF of 1654 and 1656?

Answer:

Greatest Common Factor of 1654 and 1656 = 2

Step 1: Find the prime factorization of 1654

1654 = 2 x 827

Step 2: Find the prime factorization of 1656

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

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 1656 is 2