Greatest Common Factor of 3640 and 3647

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 3640, 3647 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3640 and 3647 is 7.

GCF(3640,3647) = 7

GCF of 3640 and 3647

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

GCF of:
and

Greatest Common Factor of 3640 and 3647

GCF of 3640 and 3647 is 7

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

Prime Factorization of 3647


7 3647
521 521
1

Prime factors of 3647 are 7,521. Prime factorization of 3647 in exponential form is:

3647 = 71×5211

∴ So by taking common prime factors GCF of 3640 and 3647 is 7

Greatest Common Factor of 3640 and 3647 by matching factors method

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

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Greatest Common Factor

We found the factors and prime factorization of 3640 and 3647. The biggest common factor number is the GCF number.
So the greatest common factor 3640 and 3647 is 7.

Also check out the Least Common Multiple of 3640 and 3647

Properties of GCF 3640 and 3647

(i) The GCF of 3640 and 3647 is associative

GCF of 3640 and 3647 = GCF of 3647 and 3640

Related Greatest Common Factor of 3640

Related Greatest Common Factor of 3647

Frequently Asked Questions on GCF of 3640 and 3647

1. What is the GCF of 3640 and 3647?

Answer: GCF of 3640 and 3647 is 7.

2. 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.

3. What are the Factors of 3647?

Answer: Factors of 3647 are 1, 7, 521, 3647. There are 4 integers that are factors of 3647. The greatest factor of 3647 is 3647.

4. How to Find the GCF of 3640 and 3647?

Answer:

Greatest Common Factor of 3640 and 3647 = 7

Step 1: Find the prime factorization of 3640

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

Step 2: Find the prime factorization of 3647

3647 = 7 x 521

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 3640 and 3647 is 7