Greatest Common Factor of 40042 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 40042, 40050 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40042 and 40050 is 2.

GCF(40042,40050) = 2

GCF of 40042 and 40050

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

GCF of:
and

Greatest Common Factor of 40042 and 40050

GCF of 40042 and 40050 is 2

Prime Factorization of 40042


2 40042
20021 20021
1

Prime factors of 40042 are 2,20021. Prime factorization of 40042 in exponential form is:

40042 = 21×200211

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 40042 and 40050 is 2

Greatest Common Factor of 40042 and 40050 by matching factors method

Factors of 40042

List of positive integer factors of 40042 that divides 40042 without a remainder.

1,2,20021,40042

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 40042 and 40050. The biggest common factor number is the GCF number.
So the greatest common factor 40042 and 40050 is 2.

Also check out the Least Common Multiple of 40042 and 40050

Properties of GCF 40042 and 40050

(i) The GCF of 40042 and 40050 is associative

GCF of 40042 and 40050 = GCF of 40050 and 40042

Related Greatest Common Factor of 40042

Related Greatest Common Factor of 40050

Frequently Asked Questions on GCF of 40042 and 40050

1. What is the GCF of 40042 and 40050?

Answer: GCF of 40042 and 40050 is 2.

2. What are the Factors of 40042?

Answer: Factors of 40042 are 1, 2, 20021, 40042. There are 4 integers that are factors of 40042. The greatest factor of 40042 is 40042.

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 40042 and 40050?

Answer:

Greatest Common Factor of 40042 and 40050 = 2

Step 1: Find the prime factorization of 40042

40042 = 2 x 20021

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

Step 4: Therefore, the greatest common factor of 40042 and 40050 is 2