Greatest Common Factor of 3645 and 3651

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 3645, 3651 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3645 and 3651 is 3.

GCF(3645,3651) = 3

GCF of 3645 and 3651

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

GCF of:
and

Greatest Common Factor of 3645 and 3651

GCF of 3645 and 3651 is 3

Prime Factorization of 3645


3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3645 are 3,5. Prime factorization of 3645 in exponential form is:

3645 = 36×51

Prime Factorization of 3651


3 3651
1217 1217
1

Prime factors of 3651 are 3,1217. Prime factorization of 3651 in exponential form is:

3651 = 31×12171

∴ So by taking common prime factors GCF of 3645 and 3651 is 3

Greatest Common Factor of 3645 and 3651 by matching factors method

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,729,1215,3645

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1,3,1217,3651

Greatest Common Factor

We found the factors and prime factorization of 3645 and 3651. The biggest common factor number is the GCF number.
So the greatest common factor 3645 and 3651 is 3.

Also check out the Least Common Multiple of 3645 and 3651

Properties of GCF 3645 and 3651

(i) The GCF of 3645 and 3651 is associative

GCF of 3645 and 3651 = GCF of 3651 and 3645

Related Greatest Common Factor of 3645

Related Greatest Common Factor of 3651

Frequently Asked Questions on GCF of 3645 and 3651

1. What is the GCF of 3645 and 3651?

Answer: GCF of 3645 and 3651 is 3.

2. What are the Factors of 3645?

Answer: Factors of 3645 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645. There are 14 integers that are factors of 3645. The greatest factor of 3645 is 3645.

3. What are the Factors of 3651?

Answer: Factors of 3651 are 1, 3, 1217, 3651. There are 4 integers that are factors of 3651. The greatest factor of 3651 is 3651.

4. How to Find the GCF of 3645 and 3651?

Answer:

Greatest Common Factor of 3645 and 3651 = 3

Step 1: Find the prime factorization of 3645

3645 = 3 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 3651

3651 = 3 x 1217

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 3645 and 3651 is 3