Greatest Common Factor of 40034 and 40040

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 40034, 40040 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40034 and 40040 is 2.

GCF(40034,40040) = 2

GCF of 40034 and 40040

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

GCF of:
and

Greatest Common Factor of 40034 and 40040

GCF of 40034 and 40040 is 2

Prime Factorization of 40034


2 40034
37 20017
541 541
1

Prime factors of 40034 are 2,37,541. Prime factorization of 40034 in exponential form is:

40034 = 21×371×5411

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

∴ So by taking common prime factors GCF of 40034 and 40040 is 2

Greatest Common Factor of 40034 and 40040 by matching factors method

Factors of 40034

List of positive integer factors of 40034 that divides 40034 without a remainder.

1,2,37,74,541,1082,20017,40034

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

Greatest Common Factor

We found the factors and prime factorization of 40034 and 40040. The biggest common factor number is the GCF number.
So the greatest common factor 40034 and 40040 is 2.

Also check out the Least Common Multiple of 40034 and 40040

Properties of GCF 40034 and 40040

(i) The GCF of 40034 and 40040 is associative

GCF of 40034 and 40040 = GCF of 40040 and 40034

Related Greatest Common Factor of 40034

Related Greatest Common Factor of 40040

Frequently Asked Questions on GCF of 40034 and 40040

1. What is the GCF of 40034 and 40040?

Answer: GCF of 40034 and 40040 is 2.

2. What are the Factors of 40034?

Answer: Factors of 40034 are 1, 2, 37, 74, 541, 1082, 20017, 40034. There are 8 integers that are factors of 40034. The greatest factor of 40034 is 40034.

3. 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.

4. How to Find the GCF of 40034 and 40040?

Answer:

Greatest Common Factor of 40034 and 40040 = 2

Step 1: Find the prime factorization of 40034

40034 = 2 x 37 x 541

Step 2: Find the prime factorization of 40040

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

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 40034 and 40040 is 2