Greatest Common Factor of 3654 and 3660

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 3654, 3660 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3654 and 3660 is 6.

GCF(3654,3660) = 6

GCF of 3654 and 3660

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

GCF of:
and

Greatest Common Factor of 3654 and 3660

GCF of 3654 and 3660 is 6

Prime Factorization of 3654


2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 3654 are 2,3,7,29. Prime factorization of 3654 in exponential form is:

3654 = 21×32×71×291

Prime Factorization of 3660


2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 3660 are 2,3,5,61. Prime factorization of 3660 in exponential form is:

3660 = 22×31×51×611

∴ So by taking common prime factors GCF of 3654 and 3660 is 6

Greatest Common Factor of 3654 and 3660 by matching factors method

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Greatest Common Factor

We found the factors and prime factorization of 3654 and 3660. The biggest common factor number is the GCF number.
So the greatest common factor 3654 and 3660 is 6.

Also check out the Least Common Multiple of 3654 and 3660

Properties of GCF 3654 and 3660

(i) The GCF of 3654 and 3660 is associative

GCF of 3654 and 3660 = GCF of 3660 and 3654

Related Greatest Common Factor of 3654

Related Greatest Common Factor of 3660

Frequently Asked Questions on GCF of 3654 and 3660

1. What is the GCF of 3654 and 3660?

Answer: GCF of 3654 and 3660 is 6.

2. What are the Factors of 3654?

Answer: Factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654. There are 24 integers that are factors of 3654. The greatest factor of 3654 is 3654.

3. What are the Factors of 3660?

Answer: Factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660. There are 24 integers that are factors of 3660. The greatest factor of 3660 is 3660.

4. How to Find the GCF of 3654 and 3660?

Answer:

Greatest Common Factor of 3654 and 3660 = 6

Step 1: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

Step 2: Find the prime factorization of 3660

3660 = 2 x 2 x 3 x 5 x 61

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 3654 and 3660 is 6