Greatest Common Factor of 40044 and 40047

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 40044, 40047 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40044 and 40047 is 3.

GCF(40044,40047) = 3

GCF of 40044 and 40047

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

GCF of:
and

Greatest Common Factor of 40044 and 40047

GCF of 40044 and 40047 is 3

Prime Factorization of 40044


2 40044
2 20022
3 10011
47 3337
71 71
1

Prime factors of 40044 are 2,3,47,71. Prime factorization of 40044 in exponential form is:

40044 = 22×31×471×711

Prime Factorization of 40047


3 40047
7 13349
1907 1907
1

Prime factors of 40047 are 3,7,1907. Prime factorization of 40047 in exponential form is:

40047 = 31×71×19071

∴ So by taking common prime factors GCF of 40044 and 40047 is 3

Greatest Common Factor of 40044 and 40047 by matching factors method

Factors of 40044

List of positive integer factors of 40044 that divides 40044 without a remainder.

1,2,3,4,6,12,47,71,94,141,142,188,213,282,284,426,564,852,3337,6674,10011,13348,20022,40044

Factors of 40047

List of positive integer factors of 40047 that divides 40047 without a remainder.

1,3,7,21,1907,5721,13349,40047

Greatest Common Factor

We found the factors and prime factorization of 40044 and 40047. The biggest common factor number is the GCF number.
So the greatest common factor 40044 and 40047 is 3.

Also check out the Least Common Multiple of 40044 and 40047

Properties of GCF 40044 and 40047

(i) The GCF of 40044 and 40047 is associative

GCF of 40044 and 40047 = GCF of 40047 and 40044

Related Greatest Common Factor of 40044

Related Greatest Common Factor of 40047

Frequently Asked Questions on GCF of 40044 and 40047

1. What is the GCF of 40044 and 40047?

Answer: GCF of 40044 and 40047 is 3.

2. What are the Factors of 40044?

Answer: Factors of 40044 are 1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044. There are 24 integers that are factors of 40044. The greatest factor of 40044 is 40044.

3. What are the Factors of 40047?

Answer: Factors of 40047 are 1, 3, 7, 21, 1907, 5721, 13349, 40047. There are 8 integers that are factors of 40047. The greatest factor of 40047 is 40047.

4. How to Find the GCF of 40044 and 40047?

Answer:

Greatest Common Factor of 40044 and 40047 = 3

Step 1: Find the prime factorization of 40044

40044 = 2 x 2 x 3 x 47 x 71

Step 2: Find the prime factorization of 40047

40047 = 3 x 7 x 1907

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

GCF = 3

Step 4: Therefore, the greatest common factor of 40044 and 40047 is 3