Greatest Common Factor of 42032 and 42040

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 42032, 42040 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42032 and 42040 is 8.

GCF(42032,42040) = 8

GCF of 42032 and 42040

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

GCF of:
and

Greatest Common Factor of 42032 and 42040

GCF of 42032 and 42040 is 8

Prime Factorization of 42032


2 42032
2 21016
2 10508
2 5254
37 2627
71 71
1

Prime factors of 42032 are 2,37,71. Prime factorization of 42032 in exponential form is:

42032 = 24×371×711

Prime Factorization of 42040


2 42040
2 21020
2 10510
5 5255
1051 1051
1

Prime factors of 42040 are 2,5,1051. Prime factorization of 42040 in exponential form is:

42040 = 23×51×10511

∴ So by taking common prime factors GCF of 42032 and 42040 is 8

Greatest Common Factor of 42032 and 42040 by matching factors method

Factors of 42032

List of positive integer factors of 42032 that divides 42032 without a remainder.

1,2,4,8,16,37,71,74,142,148,284,296,568,592,1136,2627,5254,10508,21016,42032

Factors of 42040

List of positive integer factors of 42040 that divides 42040 without a remainder.

1,2,4,5,8,10,20,40,1051,2102,4204,5255,8408,10510,21020,42040

Greatest Common Factor

We found the factors and prime factorization of 42032 and 42040. The biggest common factor number is the GCF number.
So the greatest common factor 42032 and 42040 is 8.

Also check out the Least Common Multiple of 42032 and 42040

Properties of GCF 42032 and 42040

(i) The GCF of 42032 and 42040 is associative

GCF of 42032 and 42040 = GCF of 42040 and 42032

Related Greatest Common Factor of 42032

Related Greatest Common Factor of 42040

Frequently Asked Questions on GCF of 42032 and 42040

1. What is the GCF of 42032 and 42040?

Answer: GCF of 42032 and 42040 is 8.

2. What are the Factors of 42032?

Answer: Factors of 42032 are 1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016, 42032. There are 20 integers that are factors of 42032. The greatest factor of 42032 is 42032.

3. What are the Factors of 42040?

Answer: Factors of 42040 are 1, 2, 4, 5, 8, 10, 20, 40, 1051, 2102, 4204, 5255, 8408, 10510, 21020, 42040. There are 16 integers that are factors of 42040. The greatest factor of 42040 is 42040.

4. How to Find the GCF of 42032 and 42040?

Answer:

Greatest Common Factor of 42032 and 42040 = 8

Step 1: Find the prime factorization of 42032

42032 = 2 x 2 x 2 x 2 x 37 x 71

Step 2: Find the prime factorization of 42040

42040 = 2 x 2 x 2 x 5 x 1051

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 42032 and 42040 is 8