Greatest Common Factor of 3172 and 3180

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 3172, 3180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3172 and 3180 is 4.

GCF(3172,3180) = 4

GCF of 3172 and 3180

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

GCF of:
and

Greatest Common Factor of 3172 and 3180

GCF of 3172 and 3180 is 4

Prime Factorization of 3172


2 3172
2 1586
13 793
61 61
1

Prime factors of 3172 are 2,13,61. Prime factorization of 3172 in exponential form is:

3172 = 22×131×611

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

∴ So by taking common prime factors GCF of 3172 and 3180 is 4

Greatest Common Factor of 3172 and 3180 by matching factors method

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

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

Greatest Common Factor

We found the factors and prime factorization of 3172 and 3180. The biggest common factor number is the GCF number.
So the greatest common factor 3172 and 3180 is 4.

Also check out the Least Common Multiple of 3172 and 3180

Properties of GCF 3172 and 3180

(i) The GCF of 3172 and 3180 is associative

GCF of 3172 and 3180 = GCF of 3180 and 3172

Related Greatest Common Factor of 3172

Related Greatest Common Factor of 3180

Frequently Asked Questions on GCF of 3172 and 3180

1. What is the GCF of 3172 and 3180?

Answer: GCF of 3172 and 3180 is 4.

2. What are the Factors of 3172?

Answer: Factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. There are 12 integers that are factors of 3172. The greatest factor of 3172 is 3172.

3. 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.

4. How to Find the GCF of 3172 and 3180?

Answer:

Greatest Common Factor of 3172 and 3180 = 4

Step 1: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 3180

3180 = 2 x 2 x 3 x 5 x 53

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 3172 and 3180 is 4