Greatest Common Factor of 40044 and 40050

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, 40050 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40044 and 40050 is 6.

GCF(40044,40050) = 6

GCF of 40044 and 40050

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

GCF of:
and

Greatest Common Factor of 40044 and 40050

GCF of 40044 and 40050 is 6

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 40050


2 40050
3 20025
3 6675
5 2225
5 445
89 89
1

Prime factors of 40050 are 2,3,5,89. Prime factorization of 40050 in exponential form is:

40050 = 21×32×52×891

∴ So by taking common prime factors GCF of 40044 and 40050 is 6

Greatest Common Factor of 40044 and 40050 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 40050

List of positive integer factors of 40050 that divides 40050 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,89,90,150,178,225,267,445,450,534,801,890,1335,1602,2225,2670,4005,4450,6675,8010,13350,20025,40050

Greatest Common Factor

We found the factors and prime factorization of 40044 and 40050. The biggest common factor number is the GCF number.
So the greatest common factor 40044 and 40050 is 6.

Also check out the Least Common Multiple of 40044 and 40050

Properties of GCF 40044 and 40050

(i) The GCF of 40044 and 40050 is associative

GCF of 40044 and 40050 = GCF of 40050 and 40044

Related Greatest Common Factor of 40044

Related Greatest Common Factor of 40050

Frequently Asked Questions on GCF of 40044 and 40050

1. What is the GCF of 40044 and 40050?

Answer: GCF of 40044 and 40050 is 6.

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 40050?

Answer: Factors of 40050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 89, 90, 150, 178, 225, 267, 445, 450, 534, 801, 890, 1335, 1602, 2225, 2670, 4005, 4450, 6675, 8010, 13350, 20025, 40050. There are 36 integers that are factors of 40050. The greatest factor of 40050 is 40050.

4. How to Find the GCF of 40044 and 40050?

Answer:

Greatest Common Factor of 40044 and 40050 = 6

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 40050

40050 = 2 x 3 x 3 x 5 x 5 x 89

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 40044 and 40050 is 6