Greatest Common Factor of 3672 and 3680

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, 3680 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3672 and 3680 is 8.

GCF(3672,3680) = 8

GCF of 3672 and 3680

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

GCF of:
and

Greatest Common Factor of 3672 and 3680

GCF of 3672 and 3680 is 8

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 3680


2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 3680 are 2,5,23. Prime factorization of 3680 in exponential form is:

3680 = 25×51×231

∴ So by taking common prime factors GCF of 3672 and 3680 is 8

Greatest Common Factor of 3672 and 3680 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 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Greatest Common Factor

We found the factors and prime factorization of 3672 and 3680. The biggest common factor number is the GCF number.
So the greatest common factor 3672 and 3680 is 8.

Also check out the Least Common Multiple of 3672 and 3680

Properties of GCF 3672 and 3680

(i) The GCF of 3672 and 3680 is associative

GCF of 3672 and 3680 = GCF of 3680 and 3672

Related Greatest Common Factor of 3672

Related Greatest Common Factor of 3680

Frequently Asked Questions on GCF of 3672 and 3680

1. What is the GCF of 3672 and 3680?

Answer: GCF of 3672 and 3680 is 8.

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 3680?

Answer: Factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. There are 24 integers that are factors of 3680. The greatest factor of 3680 is 3680.

4. How to Find the GCF of 3672 and 3680?

Answer:

Greatest Common Factor of 3672 and 3680 = 8

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 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

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 3672 and 3680 is 8