Greatest Common Factor of 3633 and 3640

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 3633, 3640 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3633 and 3640 is 7.

GCF(3633,3640) = 7

GCF of 3633 and 3640

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

GCF of:
and

Greatest Common Factor of 3633 and 3640

GCF of 3633 and 3640 is 7

Prime Factorization of 3633


3 3633
7 1211
173 173
1

Prime factors of 3633 are 3,7,173. Prime factorization of 3633 in exponential form is:

3633 = 31×71×1731

Prime Factorization of 3640


2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 3640 are 2,5,7,13. Prime factorization of 3640 in exponential form is:

3640 = 23×51×71×131

∴ So by taking common prime factors GCF of 3633 and 3640 is 7

Greatest Common Factor of 3633 and 3640 by matching factors method

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1,3,7,21,173,519,1211,3633

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors and prime factorization of 3633 and 3640. The biggest common factor number is the GCF number.
So the greatest common factor 3633 and 3640 is 7.

Also check out the Least Common Multiple of 3633 and 3640

Properties of GCF 3633 and 3640

(i) The GCF of 3633 and 3640 is associative

GCF of 3633 and 3640 = GCF of 3640 and 3633

Related Greatest Common Factor of 3633

Related Greatest Common Factor of 3640

Frequently Asked Questions on GCF of 3633 and 3640

1. What is the GCF of 3633 and 3640?

Answer: GCF of 3633 and 3640 is 7.

2. What are the Factors of 3633?

Answer: Factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633. There are 8 integers that are factors of 3633. The greatest factor of 3633 is 3633.

3. What are the Factors of 3640?

Answer: Factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. There are 32 integers that are factors of 3640. The greatest factor of 3640 is 3640.

4. How to Find the GCF of 3633 and 3640?

Answer:

Greatest Common Factor of 3633 and 3640 = 7

Step 1: Find the prime factorization of 3633

3633 = 3 x 7 x 173

Step 2: Find the prime factorization of 3640

3640 = 2 x 2 x 2 x 5 x 7 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3633 and 3640 is 7