Greatest Common Factor of 3648 and 3656

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, 3656 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3648 and 3656 is 8.

GCF(3648,3656) = 8

GCF of 3648 and 3656

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

GCF of:
and

Greatest Common Factor of 3648 and 3656

GCF of 3648 and 3656 is 8

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 3656


2 3656
2 1828
2 914
457 457
1

Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:

3656 = 23×4571

∴ So by taking common prime factors GCF of 3648 and 3656 is 8

Greatest Common Factor of 3648 and 3656 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 3656

List of positive integer factors of 3656 that divides 3656 without a remainder.

1,2,4,8,457,914,1828,3656

Greatest Common Factor

We found the factors and prime factorization of 3648 and 3656. The biggest common factor number is the GCF number.
So the greatest common factor 3648 and 3656 is 8.

Also check out the Least Common Multiple of 3648 and 3656

Properties of GCF 3648 and 3656

(i) The GCF of 3648 and 3656 is associative

GCF of 3648 and 3656 = GCF of 3656 and 3648

Related Greatest Common Factor of 3648

Related Greatest Common Factor of 3656

Frequently Asked Questions on GCF of 3648 and 3656

1. What is the GCF of 3648 and 3656?

Answer: GCF of 3648 and 3656 is 8.

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 3656?

Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.

4. How to Find the GCF of 3648 and 3656?

Answer:

Greatest Common Factor of 3648 and 3656 = 8

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 3656

3656 = 2 x 2 x 2 x 457

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3648 and 3656 is 8