Greatest Common Factor of 39172 and 39180

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 39172, 39180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39172 and 39180 is 4.

GCF(39172,39180) = 4

GCF of 39172 and 39180

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

GCF of:
and

Greatest Common Factor of 39172 and 39180

GCF of 39172 and 39180 is 4

Prime Factorization of 39172


2 39172
2 19586
7 9793
1399 1399
1

Prime factors of 39172 are 2,7,1399. Prime factorization of 39172 in exponential form is:

39172 = 22×71×13991

Prime Factorization of 39180


2 39180
2 19590
3 9795
5 3265
653 653
1

Prime factors of 39180 are 2,3,5,653. Prime factorization of 39180 in exponential form is:

39180 = 22×31×51×6531

∴ So by taking common prime factors GCF of 39172 and 39180 is 4

Greatest Common Factor of 39172 and 39180 by matching factors method

Factors of 39172

List of positive integer factors of 39172 that divides 39172 without a remainder.

1,2,4,7,14,28,1399,2798,5596,9793,19586,39172

Factors of 39180

List of positive integer factors of 39180 that divides 39180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,653,1306,1959,2612,3265,3918,6530,7836,9795,13060,19590,39180

Greatest Common Factor

We found the factors and prime factorization of 39172 and 39180. The biggest common factor number is the GCF number.
So the greatest common factor 39172 and 39180 is 4.

Also check out the Least Common Multiple of 39172 and 39180

Properties of GCF 39172 and 39180

(i) The GCF of 39172 and 39180 is associative

GCF of 39172 and 39180 = GCF of 39180 and 39172

Related Greatest Common Factor of 39172

Related Greatest Common Factor of 39180

Frequently Asked Questions on GCF of 39172 and 39180

1. What is the GCF of 39172 and 39180?

Answer: GCF of 39172 and 39180 is 4.

2. What are the Factors of 39172?

Answer: Factors of 39172 are 1, 2, 4, 7, 14, 28, 1399, 2798, 5596, 9793, 19586, 39172. There are 12 integers that are factors of 39172. The greatest factor of 39172 is 39172.

3. What are the Factors of 39180?

Answer: Factors of 39180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 653, 1306, 1959, 2612, 3265, 3918, 6530, 7836, 9795, 13060, 19590, 39180. There are 24 integers that are factors of 39180. The greatest factor of 39180 is 39180.

4. How to Find the GCF of 39172 and 39180?

Answer:

Greatest Common Factor of 39172 and 39180 = 4

Step 1: Find the prime factorization of 39172

39172 = 2 x 2 x 7 x 1399

Step 2: Find the prime factorization of 39180

39180 = 2 x 2 x 3 x 5 x 653

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 39172 and 39180 is 4