Greatest Common Factor of 3645 and 3650

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, 3650 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3645 and 3650 is 5.

GCF(3645,3650) = 5

GCF of 3645 and 3650

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

GCF of:
and

Greatest Common Factor of 3645 and 3650

GCF of 3645 and 3650 is 5

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 3650


2 3650
5 1825
5 365
73 73
1

Prime factors of 3650 are 2,5,73. Prime factorization of 3650 in exponential form is:

3650 = 21×52×731

∴ So by taking common prime factors GCF of 3645 and 3650 is 5

Greatest Common Factor of 3645 and 3650 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 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1,2,5,10,25,50,73,146,365,730,1825,3650

Greatest Common Factor

We found the factors and prime factorization of 3645 and 3650. The biggest common factor number is the GCF number.
So the greatest common factor 3645 and 3650 is 5.

Also check out the Least Common Multiple of 3645 and 3650

Properties of GCF 3645 and 3650

(i) The GCF of 3645 and 3650 is associative

GCF of 3645 and 3650 = GCF of 3650 and 3645

Related Greatest Common Factor of 3645

Related Greatest Common Factor of 3650

Frequently Asked Questions on GCF of 3645 and 3650

1. What is the GCF of 3645 and 3650?

Answer: GCF of 3645 and 3650 is 5.

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 3650?

Answer: Factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650. There are 12 integers that are factors of 3650. The greatest factor of 3650 is 3650.

4. How to Find the GCF of 3645 and 3650?

Answer:

Greatest Common Factor of 3645 and 3650 = 5

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 3650

3650 = 2 x 5 x 5 x 73

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3645 and 3650 is 5