Greatest Common Factor of 3180 and 3184

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 3180, 3184 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3180 and 3184 is 4.

GCF(3180,3184) = 4

GCF of 3180 and 3184

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

GCF of:
and

Greatest Common Factor of 3180 and 3184

GCF of 3180 and 3184 is 4

Prime Factorization of 3180


2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 3180 are 2,3,5,53. Prime factorization of 3180 in exponential form is:

3180 = 22×31×51×531

Prime Factorization of 3184


2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 3184 are 2,199. Prime factorization of 3184 in exponential form is:

3184 = 24×1991

∴ So by taking common prime factors GCF of 3180 and 3184 is 4

Greatest Common Factor of 3180 and 3184 by matching factors method

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1,2,4,8,16,199,398,796,1592,3184

Greatest Common Factor

We found the factors and prime factorization of 3180 and 3184. The biggest common factor number is the GCF number.
So the greatest common factor 3180 and 3184 is 4.

Also check out the Least Common Multiple of 3180 and 3184

Properties of GCF 3180 and 3184

(i) The GCF of 3180 and 3184 is associative

GCF of 3180 and 3184 = GCF of 3184 and 3180

Related Greatest Common Factor of 3180

Related Greatest Common Factor of 3184

Frequently Asked Questions on GCF of 3180 and 3184

1. What is the GCF of 3180 and 3184?

Answer: GCF of 3180 and 3184 is 4.

2. What are the Factors of 3180?

Answer: Factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180. There are 24 integers that are factors of 3180. The greatest factor of 3180 is 3180.

3. What are the Factors of 3184?

Answer: Factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184. There are 10 integers that are factors of 3184. The greatest factor of 3184 is 3184.

4. How to Find the GCF of 3180 and 3184?

Answer:

Greatest Common Factor of 3180 and 3184 = 4

Step 1: Find the prime factorization of 3180

3180 = 2 x 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 3184

3184 = 2 x 2 x 2 x 2 x 199

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3180 and 3184 is 4