Greatest Common Factor of 27040 and 27044

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 27040, 27044 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27040 and 27044 is 4.

GCF(27040,27044) = 4

GCF of 27040 and 27044

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

GCF of:
and

Greatest Common Factor of 27040 and 27044

GCF of 27040 and 27044 is 4

Prime Factorization of 27040


2 27040
2 13520
2 6760
2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 27040 are 2,5,13. Prime factorization of 27040 in exponential form is:

27040 = 25×51×132

Prime Factorization of 27044


2 27044
2 13522
6761 6761
1

Prime factors of 27044 are 2,6761. Prime factorization of 27044 in exponential form is:

27044 = 22×67611

∴ So by taking common prime factors GCF of 27040 and 27044 is 4

Greatest Common Factor of 27040 and 27044 by matching factors method

Factors of 27040

List of positive integer factors of 27040 that divides 27040 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,169,208,260,338,416,520,676,845,1040,1352,1690,2080,2704,3380,5408,6760,13520,27040

Factors of 27044

List of positive integer factors of 27044 that divides 27044 without a remainder.

1,2,4,6761,13522,27044

Greatest Common Factor

We found the factors and prime factorization of 27040 and 27044. The biggest common factor number is the GCF number.
So the greatest common factor 27040 and 27044 is 4.

Also check out the Least Common Multiple of 27040 and 27044

Properties of GCF 27040 and 27044

(i) The GCF of 27040 and 27044 is associative

GCF of 27040 and 27044 = GCF of 27044 and 27040

Related Greatest Common Factor of 27040

Related Greatest Common Factor of 27044

Frequently Asked Questions on GCF of 27040 and 27044

1. What is the GCF of 27040 and 27044?

Answer: GCF of 27040 and 27044 is 4.

2. What are the Factors of 27040?

Answer: Factors of 27040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520, 27040. There are 36 integers that are factors of 27040. The greatest factor of 27040 is 27040.

3. What are the Factors of 27044?

Answer: Factors of 27044 are 1, 2, 4, 6761, 13522, 27044. There are 6 integers that are factors of 27044. The greatest factor of 27044 is 27044.

4. How to Find the GCF of 27040 and 27044?

Answer:

Greatest Common Factor of 27040 and 27044 = 4

Step 1: Find the prime factorization of 27040

27040 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 27044

27044 = 2 x 2 x 6761

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 27040 and 27044 is 4