Greatest Common Factor of 3654 and 3657

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, 3657 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3654 and 3657 is 3.

GCF(3654,3657) = 3

GCF of 3654 and 3657

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

GCF of:
and

Greatest Common Factor of 3654 and 3657

GCF of 3654 and 3657 is 3

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 3657


3 3657
23 1219
53 53
1

Prime factors of 3657 are 3,23,53. Prime factorization of 3657 in exponential form is:

3657 = 31×231×531

∴ So by taking common prime factors GCF of 3654 and 3657 is 3

Greatest Common Factor of 3654 and 3657 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 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1,3,23,53,69,159,1219,3657

Greatest Common Factor

We found the factors and prime factorization of 3654 and 3657. The biggest common factor number is the GCF number.
So the greatest common factor 3654 and 3657 is 3.

Also check out the Least Common Multiple of 3654 and 3657

Properties of GCF 3654 and 3657

(i) The GCF of 3654 and 3657 is associative

GCF of 3654 and 3657 = GCF of 3657 and 3654

Related Greatest Common Factor of 3654

Related Greatest Common Factor of 3657

Frequently Asked Questions on GCF of 3654 and 3657

1. What is the GCF of 3654 and 3657?

Answer: GCF of 3654 and 3657 is 3.

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 3657?

Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.

4. How to Find the GCF of 3654 and 3657?

Answer:

Greatest Common Factor of 3654 and 3657 = 3

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 3657

3657 = 3 x 23 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3654 and 3657 is 3