Greatest Common Factor of 3640 and 3642

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, 3642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3640 and 3642 is 2.

GCF(3640,3642) = 2

GCF of 3640 and 3642

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

GCF of:
and

Greatest Common Factor of 3640 and 3642

GCF of 3640 and 3642 is 2

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 3642


2 3642
3 1821
607 607
1

Prime factors of 3642 are 2,3,607. Prime factorization of 3642 in exponential form is:

3642 = 21×31×6071

∴ So by taking common prime factors GCF of 3640 and 3642 is 2

Greatest Common Factor of 3640 and 3642 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 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

Greatest Common Factor

We found the factors and prime factorization of 3640 and 3642. The biggest common factor number is the GCF number.
So the greatest common factor 3640 and 3642 is 2.

Also check out the Least Common Multiple of 3640 and 3642

Properties of GCF 3640 and 3642

(i) The GCF of 3640 and 3642 is associative

GCF of 3640 and 3642 = GCF of 3642 and 3640

Related Greatest Common Factor of 3640

Related Greatest Common Factor of 3642

Frequently Asked Questions on GCF of 3640 and 3642

1. What is the GCF of 3640 and 3642?

Answer: GCF of 3640 and 3642 is 2.

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 3642?

Answer: Factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642. There are 8 integers that are factors of 3642. The greatest factor of 3642 is 3642.

4. How to Find the GCF of 3640 and 3642?

Answer:

Greatest Common Factor of 3640 and 3642 = 2

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 3642

3642 = 2 x 3 x 607

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3640 and 3642 is 2