Greatest Common Factor of 27030 and 27034

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 27030, 27034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27030 and 27034 is 2.

GCF(27030,27034) = 2

GCF of 27030 and 27034

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

GCF of:
and

Greatest Common Factor of 27030 and 27034

GCF of 27030 and 27034 is 2

Prime Factorization of 27030


2 27030
3 13515
5 4505
17 901
53 53
1

Prime factors of 27030 are 2,3,5,17,53. Prime factorization of 27030 in exponential form is:

27030 = 21×31×51×171×531

Prime Factorization of 27034


2 27034
7 13517
1931 1931
1

Prime factors of 27034 are 2,7,1931. Prime factorization of 27034 in exponential form is:

27034 = 21×71×19311

∴ So by taking common prime factors GCF of 27030 and 27034 is 2

Greatest Common Factor of 27030 and 27034 by matching factors method

Factors of 27030

List of positive integer factors of 27030 that divides 27030 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,53,85,102,106,159,170,255,265,318,510,530,795,901,1590,1802,2703,4505,5406,9010,13515,27030

Factors of 27034

List of positive integer factors of 27034 that divides 27034 without a remainder.

1,2,7,14,1931,3862,13517,27034

Greatest Common Factor

We found the factors and prime factorization of 27030 and 27034. The biggest common factor number is the GCF number.
So the greatest common factor 27030 and 27034 is 2.

Also check out the Least Common Multiple of 27030 and 27034

Properties of GCF 27030 and 27034

(i) The GCF of 27030 and 27034 is associative

GCF of 27030 and 27034 = GCF of 27034 and 27030

Related Greatest Common Factor of 27030

Related Greatest Common Factor of 27034

Frequently Asked Questions on GCF of 27030 and 27034

1. What is the GCF of 27030 and 27034?

Answer: GCF of 27030 and 27034 is 2.

2. What are the Factors of 27030?

Answer: Factors of 27030 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 53, 85, 102, 106, 159, 170, 255, 265, 318, 510, 530, 795, 901, 1590, 1802, 2703, 4505, 5406, 9010, 13515, 27030. There are 32 integers that are factors of 27030. The greatest factor of 27030 is 27030.

3. What are the Factors of 27034?

Answer: Factors of 27034 are 1, 2, 7, 14, 1931, 3862, 13517, 27034. There are 8 integers that are factors of 27034. The greatest factor of 27034 is 27034.

4. How to Find the GCF of 27030 and 27034?

Answer:

Greatest Common Factor of 27030 and 27034 = 2

Step 1: Find the prime factorization of 27030

27030 = 2 x 3 x 5 x 17 x 53

Step 2: Find the prime factorization of 27034

27034 = 2 x 7 x 1931

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 27030 and 27034 is 2