Greatest Common Factor of 3654 and 3662

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, 3662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3654 and 3662 is 2.

GCF(3654,3662) = 2

GCF of 3654 and 3662

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

GCF of:
and

Greatest Common Factor of 3654 and 3662

GCF of 3654 and 3662 is 2

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 3662


2 3662
1831 1831
1

Prime factors of 3662 are 2,1831. Prime factorization of 3662 in exponential form is:

3662 = 21×18311

∴ So by taking common prime factors GCF of 3654 and 3662 is 2

Greatest Common Factor of 3654 and 3662 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 3662

List of positive integer factors of 3662 that divides 3662 without a remainder.

1,2,1831,3662

Greatest Common Factor

We found the factors and prime factorization of 3654 and 3662. The biggest common factor number is the GCF number.
So the greatest common factor 3654 and 3662 is 2.

Also check out the Least Common Multiple of 3654 and 3662

Properties of GCF 3654 and 3662

(i) The GCF of 3654 and 3662 is associative

GCF of 3654 and 3662 = GCF of 3662 and 3654

Related Greatest Common Factor of 3654

Related Greatest Common Factor of 3662

Frequently Asked Questions on GCF of 3654 and 3662

1. What is the GCF of 3654 and 3662?

Answer: GCF of 3654 and 3662 is 2.

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 3662?

Answer: Factors of 3662 are 1, 2, 1831, 3662. There are 4 integers that are factors of 3662. The greatest factor of 3662 is 3662.

4. How to Find the GCF of 3654 and 3662?

Answer:

Greatest Common Factor of 3654 and 3662 = 2

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 3662

3662 = 2 x 1831

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 3654 and 3662 is 2