Greatest Common Factor of 40044 and 40052

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, 40052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40044 and 40052 is 4.

GCF(40044,40052) = 4

GCF of 40044 and 40052

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

GCF of:
and

Greatest Common Factor of 40044 and 40052

GCF of 40044 and 40052 is 4

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 40052


2 40052
2 20026
17 10013
19 589
31 31
1

Prime factors of 40052 are 2,17,19,31. Prime factorization of 40052 in exponential form is:

40052 = 22×171×191×311

∴ So by taking common prime factors GCF of 40044 and 40052 is 4

Greatest Common Factor of 40044 and 40052 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 40052

List of positive integer factors of 40052 that divides 40052 without a remainder.

1,2,4,17,19,31,34,38,62,68,76,124,323,527,589,646,1054,1178,1292,2108,2356,10013,20026,40052

Greatest Common Factor

We found the factors and prime factorization of 40044 and 40052. The biggest common factor number is the GCF number.
So the greatest common factor 40044 and 40052 is 4.

Also check out the Least Common Multiple of 40044 and 40052

Properties of GCF 40044 and 40052

(i) The GCF of 40044 and 40052 is associative

GCF of 40044 and 40052 = GCF of 40052 and 40044

Related Greatest Common Factor of 40044

Related Greatest Common Factor of 40052

Frequently Asked Questions on GCF of 40044 and 40052

1. What is the GCF of 40044 and 40052?

Answer: GCF of 40044 and 40052 is 4.

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 40052?

Answer: Factors of 40052 are 1, 2, 4, 17, 19, 31, 34, 38, 62, 68, 76, 124, 323, 527, 589, 646, 1054, 1178, 1292, 2108, 2356, 10013, 20026, 40052. There are 24 integers that are factors of 40052. The greatest factor of 40052 is 40052.

4. How to Find the GCF of 40044 and 40052?

Answer:

Greatest Common Factor of 40044 and 40052 = 4

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 40052

40052 = 2 x 2 x 17 x 19 x 31

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 40044 and 40052 is 4