Greatest Common Factor of 3648 and 3655

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 3648, 3655 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3648 and 3655 is 1.

GCF(3648,3655) = 1

GCF of 3648 and 3655

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

GCF of:
and

Greatest Common Factor of 3648 and 3655

GCF of 3648 and 3655 is 1

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

Prime Factorization of 3655


5 3655
17 731
43 43
1

Prime factors of 3655 are 5,17,43. Prime factorization of 3655 in exponential form is:

3655 = 51×171×431

∴ So by taking common prime factors GCF of 3648 and 3655 is 1

Greatest Common Factor of 3648 and 3655 by matching factors method

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

Factors of 3655

List of positive integer factors of 3655 that divides 3655 without a remainder.

1,5,17,43,85,215,731,3655

Greatest Common Factor

We found the factors and prime factorization of 3648 and 3655. The biggest common factor number is the GCF number.
So the greatest common factor 3648 and 3655 is 1.

Also check out the Least Common Multiple of 3648 and 3655

Properties of GCF 3648 and 3655

(i) The GCF of 3648 and 3655 is associative

GCF of 3648 and 3655 = GCF of 3655 and 3648

Related Greatest Common Factor of 3648

Related Greatest Common Factor of 3655

Frequently Asked Questions on GCF of 3648 and 3655

1. What is the GCF of 3648 and 3655?

Answer: GCF of 3648 and 3655 is 1.

2. 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.

3. What are the Factors of 3655?

Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.

4. How to Find the GCF of 3648 and 3655?

Answer:

Greatest Common Factor of 3648 and 3655 = 1

Step 1: Find the prime factorization of 3648

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

Step 2: Find the prime factorization of 3655

3655 = 5 x 17 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3648 and 3655 is 1