Greatest Common Factor of 3672 and 3678

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 3672, 3678 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3672 and 3678 is 6.

GCF(3672,3678) = 6

GCF of 3672 and 3678

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

GCF of:
and

Greatest Common Factor of 3672 and 3678

GCF of 3672 and 3678 is 6

Prime Factorization of 3672


2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 3672 are 2,3,17. Prime factorization of 3672 in exponential form is:

3672 = 23×33×171

Prime Factorization of 3678


2 3678
3 1839
613 613
1

Prime factors of 3678 are 2,3,613. Prime factorization of 3678 in exponential form is:

3678 = 21×31×6131

∴ So by taking common prime factors GCF of 3672 and 3678 is 6

Greatest Common Factor of 3672 and 3678 by matching factors method

Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1,2,3,6,613,1226,1839,3678

Greatest Common Factor

We found the factors and prime factorization of 3672 and 3678. The biggest common factor number is the GCF number.
So the greatest common factor 3672 and 3678 is 6.

Also check out the Least Common Multiple of 3672 and 3678

Properties of GCF 3672 and 3678

(i) The GCF of 3672 and 3678 is associative

GCF of 3672 and 3678 = GCF of 3678 and 3672

Related Greatest Common Factor of 3672

Related Greatest Common Factor of 3678

Frequently Asked Questions on GCF of 3672 and 3678

1. What is the GCF of 3672 and 3678?

Answer: GCF of 3672 and 3678 is 6.

2. What are the Factors of 3672?

Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.

3. What are the Factors of 3678?

Answer: Factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678. There are 8 integers that are factors of 3678. The greatest factor of 3678 is 3678.

4. How to Find the GCF of 3672 and 3678?

Answer:

Greatest Common Factor of 3672 and 3678 = 6

Step 1: Find the prime factorization of 3672

3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 3678

3678 = 2 x 3 x 613

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 3672 and 3678 is 6