Greatest Common Factor of 36032 and 36040

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 36032, 36040 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36032 and 36040 is 8.

GCF(36032,36040) = 8

GCF of 36032 and 36040

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

GCF of:
and

Greatest Common Factor of 36032 and 36040

GCF of 36032 and 36040 is 8

Prime Factorization of 36032


2 36032
2 18016
2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:

36032 = 26×5631

Prime Factorization of 36040


2 36040
2 18020
2 9010
5 4505
17 901
53 53
1

Prime factors of 36040 are 2,5,17,53. Prime factorization of 36040 in exponential form is:

36040 = 23×51×171×531

∴ So by taking common prime factors GCF of 36032 and 36040 is 8

Greatest Common Factor of 36032 and 36040 by matching factors method

Factors of 36032

List of positive integer factors of 36032 that divides 36032 without a remainder.

1,2,4,8,16,32,64,563,1126,2252,4504,9008,18016,36032

Factors of 36040

List of positive integer factors of 36040 that divides 36040 without a remainder.

1,2,4,5,8,10,17,20,34,40,53,68,85,106,136,170,212,265,340,424,530,680,901,1060,1802,2120,3604,4505,7208,9010,18020,36040

Greatest Common Factor

We found the factors and prime factorization of 36032 and 36040. The biggest common factor number is the GCF number.
So the greatest common factor 36032 and 36040 is 8.

Also check out the Least Common Multiple of 36032 and 36040

Properties of GCF 36032 and 36040

(i) The GCF of 36032 and 36040 is associative

GCF of 36032 and 36040 = GCF of 36040 and 36032

Related Greatest Common Factor of 36032

Related Greatest Common Factor of 36040

Frequently Asked Questions on GCF of 36032 and 36040

1. What is the GCF of 36032 and 36040?

Answer: GCF of 36032 and 36040 is 8.

2. What are the Factors of 36032?

Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.

3. What are the Factors of 36040?

Answer: Factors of 36040 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 106, 136, 170, 212, 265, 340, 424, 530, 680, 901, 1060, 1802, 2120, 3604, 4505, 7208, 9010, 18020, 36040. There are 32 integers that are factors of 36040. The greatest factor of 36040 is 36040.

4. How to Find the GCF of 36032 and 36040?

Answer:

Greatest Common Factor of 36032 and 36040 = 8

Step 1: Find the prime factorization of 36032

36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 36040

36040 = 2 x 2 x 2 x 5 x 17 x 53

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 36032 and 36040 is 8