Greatest Common Factor of 40040 and 40045

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 40040, 40045 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40040 and 40045 is 5.

GCF(40040,40045) = 5

GCF of 40040 and 40045

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

GCF of:
and

Greatest Common Factor of 40040 and 40045

GCF of 40040 and 40045 is 5

Prime Factorization of 40040


2 40040
2 20020
2 10010
5 5005
7 1001
11 143
13 13
1

Prime factors of 40040 are 2,5,7,11,13. Prime factorization of 40040 in exponential form is:

40040 = 23×51×71×111×131

Prime Factorization of 40045


5 40045
8009 8009
1

Prime factors of 40045 are 5,8009. Prime factorization of 40045 in exponential form is:

40045 = 51×80091

∴ So by taking common prime factors GCF of 40040 and 40045 is 5

Greatest Common Factor of 40040 and 40045 by matching factors method

Factors of 40040

List of positive integer factors of 40040 that divides 40040 without a remainder.

1,2,4,5,7,8,10,11,13,14,20,22,26,28,35,40,44,52,55,56,65,70,77,88,91,104,110,130,140,143,154,182,220,260,280,286,308,364,385,440,455,520,572,616,715,728,770,910,1001,1144,1430,1540,1820,2002,2860,3080,3640,4004,5005,5720,8008,10010,20020,40040

Factors of 40045

List of positive integer factors of 40045 that divides 40045 without a remainder.

1,5,8009,40045

Greatest Common Factor

We found the factors and prime factorization of 40040 and 40045. The biggest common factor number is the GCF number.
So the greatest common factor 40040 and 40045 is 5.

Also check out the Least Common Multiple of 40040 and 40045

Properties of GCF 40040 and 40045

(i) The GCF of 40040 and 40045 is associative

GCF of 40040 and 40045 = GCF of 40045 and 40040

Related Greatest Common Factor of 40040

Related Greatest Common Factor of 40045

Frequently Asked Questions on GCF of 40040 and 40045

1. What is the GCF of 40040 and 40045?

Answer: GCF of 40040 and 40045 is 5.

2. What are the Factors of 40040?

Answer: Factors of 40040 are 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020, 40040. There are 64 integers that are factors of 40040. The greatest factor of 40040 is 40040.

3. What are the Factors of 40045?

Answer: Factors of 40045 are 1, 5, 8009, 40045. There are 4 integers that are factors of 40045. The greatest factor of 40045 is 40045.

4. How to Find the GCF of 40040 and 40045?

Answer:

Greatest Common Factor of 40040 and 40045 = 5

Step 1: Find the prime factorization of 40040

40040 = 2 x 2 x 2 x 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 40045

40045 = 5 x 8009

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

GCF = 5

Step 4: Therefore, the greatest common factor of 40040 and 40045 is 5