Greatest Common Factor of 1656 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 1656, 1660 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1656 and 1660 is 4.

GCF(1656,1660) = 4

GCF of 1656 and 1660

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

GCF of:
and

Greatest Common Factor of 1656 and 1660

GCF of 1656 and 1660 is 4

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 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 1656 and 1660 is 4

Greatest Common Factor of 1656 and 1660 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 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 1656 and 1660. The biggest common factor number is the GCF number.
So the greatest common factor 1656 and 1660 is 4.

Also check out the Least Common Multiple of 1656 and 1660

Properties of GCF 1656 and 1660

(i) The GCF of 1656 and 1660 is associative

GCF of 1656 and 1660 = GCF of 1660 and 1656

Related Greatest Common Factor of 1656

Related Greatest Common Factor of 1660

Frequently Asked Questions on GCF of 1656 and 1660

1. What is the GCF of 1656 and 1660?

Answer: GCF of 1656 and 1660 is 4.

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 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 1656 and 1660?

Answer:

Greatest Common Factor of 1656 and 1660 = 4

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 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 x 2 = 4

Step 4: Therefore, the greatest common factor of 1656 and 1660 is 4