Greatest Common Factor of 3618 and 3621

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 3618, 3621 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3618 and 3621 is 3.

GCF(3618,3621) = 3

GCF of 3618 and 3621

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

GCF of:
and

Greatest Common Factor of 3618 and 3621

GCF of 3618 and 3621 is 3

Prime Factorization of 3618


2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 3618 are 2,3,67. Prime factorization of 3618 in exponential form is:

3618 = 21×33×671

Prime Factorization of 3621


3 3621
17 1207
71 71
1

Prime factors of 3621 are 3,17,71. Prime factorization of 3621 in exponential form is:

3621 = 31×171×711

∴ So by taking common prime factors GCF of 3618 and 3621 is 3

Greatest Common Factor of 3618 and 3621 by matching factors method

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1,3,17,51,71,213,1207,3621

Greatest Common Factor

We found the factors and prime factorization of 3618 and 3621. The biggest common factor number is the GCF number.
So the greatest common factor 3618 and 3621 is 3.

Also check out the Least Common Multiple of 3618 and 3621

Properties of GCF 3618 and 3621

(i) The GCF of 3618 and 3621 is associative

GCF of 3618 and 3621 = GCF of 3621 and 3618

Related Greatest Common Factor of 3618

Related Greatest Common Factor of 3621

Frequently Asked Questions on GCF of 3618 and 3621

1. What is the GCF of 3618 and 3621?

Answer: GCF of 3618 and 3621 is 3.

2. What are the Factors of 3618?

Answer: Factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618. There are 16 integers that are factors of 3618. The greatest factor of 3618 is 3618.

3. What are the Factors of 3621?

Answer: Factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621. There are 8 integers that are factors of 3621. The greatest factor of 3621 is 3621.

4. How to Find the GCF of 3618 and 3621?

Answer:

Greatest Common Factor of 3618 and 3621 = 3

Step 1: Find the prime factorization of 3618

3618 = 2 x 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 3621

3621 = 3 x 17 x 71

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 3618 and 3621 is 3