Greatest Common Factor of 3642 and 3648

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 3642, 3648 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3642 and 3648 is 6.

GCF(3642,3648) = 6

GCF of 3642 and 3648

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

GCF of:
and

Greatest Common Factor of 3642 and 3648

GCF of 3642 and 3648 is 6

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

Prime Factorization of 3648


2 3648
2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 3648 are 2,3,19. Prime factorization of 3648 in exponential form is:

3648 = 26×31×191

∴ So by taking common prime factors GCF of 3642 and 3648 is 6

Greatest Common Factor of 3642 and 3648 by matching factors method

Factors of 3642

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

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

Factors of 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648

Greatest Common Factor

We found the factors and prime factorization of 3642 and 3648. The biggest common factor number is the GCF number.
So the greatest common factor 3642 and 3648 is 6.

Also check out the Least Common Multiple of 3642 and 3648

Properties of GCF 3642 and 3648

(i) The GCF of 3642 and 3648 is associative

GCF of 3642 and 3648 = GCF of 3648 and 3642

Related Greatest Common Factor of 3642

Related Greatest Common Factor of 3648

Frequently Asked Questions on GCF of 3642 and 3648

1. What is the GCF of 3642 and 3648?

Answer: GCF of 3642 and 3648 is 6.

2. 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.

3. What are the Factors of 3648?

Answer: Factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648. There are 28 integers that are factors of 3648. The greatest factor of 3648 is 3648.

4. How to Find the GCF of 3642 and 3648?

Answer:

Greatest Common Factor of 3642 and 3648 = 6

Step 1: Find the prime factorization of 3642

3642 = 2 x 3 x 607

Step 2: Find the prime factorization of 3648

3648 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3642 and 3648 is 6