Greatest Common Factor of 40172 and 40180

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 40172, 40180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40172 and 40180 is 4.

GCF(40172,40180) = 4

GCF of 40172 and 40180

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

GCF of:
and

Greatest Common Factor of 40172 and 40180

GCF of 40172 and 40180 is 4

Prime Factorization of 40172


2 40172
2 20086
11 10043
11 913
83 83
1

Prime factors of 40172 are 2,11,83. Prime factorization of 40172 in exponential form is:

40172 = 22×112×831

Prime Factorization of 40180


2 40180
2 20090
5 10045
7 2009
7 287
41 41
1

Prime factors of 40180 are 2,5,7,41. Prime factorization of 40180 in exponential form is:

40180 = 22×51×72×411

∴ So by taking common prime factors GCF of 40172 and 40180 is 4

Greatest Common Factor of 40172 and 40180 by matching factors method

Factors of 40172

List of positive integer factors of 40172 that divides 40172 without a remainder.

1,2,4,11,22,44,83,121,166,242,332,484,913,1826,3652,10043,20086,40172

Factors of 40180

List of positive integer factors of 40180 that divides 40180 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,49,70,82,98,140,164,196,205,245,287,410,490,574,820,980,1148,1435,2009,2870,4018,5740,8036,10045,20090,40180

Greatest Common Factor

We found the factors and prime factorization of 40172 and 40180. The biggest common factor number is the GCF number.
So the greatest common factor 40172 and 40180 is 4.

Also check out the Least Common Multiple of 40172 and 40180

Properties of GCF 40172 and 40180

(i) The GCF of 40172 and 40180 is associative

GCF of 40172 and 40180 = GCF of 40180 and 40172

Related Greatest Common Factor of 40172

Related Greatest Common Factor of 40180

Frequently Asked Questions on GCF of 40172 and 40180

1. What is the GCF of 40172 and 40180?

Answer: GCF of 40172 and 40180 is 4.

2. What are the Factors of 40172?

Answer: Factors of 40172 are 1, 2, 4, 11, 22, 44, 83, 121, 166, 242, 332, 484, 913, 1826, 3652, 10043, 20086, 40172. There are 18 integers that are factors of 40172. The greatest factor of 40172 is 40172.

3. What are the Factors of 40180?

Answer: Factors of 40180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 49, 70, 82, 98, 140, 164, 196, 205, 245, 287, 410, 490, 574, 820, 980, 1148, 1435, 2009, 2870, 4018, 5740, 8036, 10045, 20090, 40180. There are 36 integers that are factors of 40180. The greatest factor of 40180 is 40180.

4. How to Find the GCF of 40172 and 40180?

Answer:

Greatest Common Factor of 40172 and 40180 = 4

Step 1: Find the prime factorization of 40172

40172 = 2 x 2 x 11 x 11 x 83

Step 2: Find the prime factorization of 40180

40180 = 2 x 2 x 5 x 7 x 7 x 41

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 40172 and 40180 is 4