Greatest Common Factor of 1654 and 1660

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, 1660 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1654 and 1660 is 2.

GCF(1654,1660) = 2

GCF of 1654 and 1660

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

GCF of:
and

Greatest Common Factor of 1654 and 1660

GCF of 1654 and 1660 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 1660


2 1660
2 830
5 415
83 83
1

Prime factors of 1660 are 2,5,83. Prime factorization of 1660 in exponential form is:

1660 = 22×51×831

∴ So by taking common prime factors GCF of 1654 and 1660 is 2

Greatest Common Factor of 1654 and 1660 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 1660

List of positive integer factors of 1660 that divides 1660 without a remainder.

1,2,4,5,10,20,83,166,332,415,830,1660

Greatest Common Factor

We found the factors and prime factorization of 1654 and 1660. The biggest common factor number is the GCF number.
So the greatest common factor 1654 and 1660 is 2.

Also check out the Least Common Multiple of 1654 and 1660

Properties of GCF 1654 and 1660

(i) The GCF of 1654 and 1660 is associative

GCF of 1654 and 1660 = GCF of 1660 and 1654

Related Greatest Common Factor of 1654

Related Greatest Common Factor of 1660

Frequently Asked Questions on GCF of 1654 and 1660

1. What is the GCF of 1654 and 1660?

Answer: GCF of 1654 and 1660 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 1660?

Answer: Factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660. There are 12 integers that are factors of 1660. The greatest factor of 1660 is 1660.

4. How to Find the GCF of 1654 and 1660?

Answer:

Greatest Common Factor of 1654 and 1660 = 2

Step 1: Find the prime factorization of 1654

1654 = 2 x 827

Step 2: Find the prime factorization of 1660

1660 = 2 x 2 x 5 x 83

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 1660 is 2