Greatest Common Factor of 27028 and 27032

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 27028, 27032 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27028 and 27032 is 4.

GCF(27028,27032) = 4

GCF of 27028 and 27032

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

GCF of:
and

Greatest Common Factor of 27028 and 27032

GCF of 27028 and 27032 is 4

Prime Factorization of 27028


2 27028
2 13514
29 6757
233 233
1

Prime factors of 27028 are 2,29,233. Prime factorization of 27028 in exponential form is:

27028 = 22×291×2331

Prime Factorization of 27032


2 27032
2 13516
2 6758
31 3379
109 109
1

Prime factors of 27032 are 2,31,109. Prime factorization of 27032 in exponential form is:

27032 = 23×311×1091

∴ So by taking common prime factors GCF of 27028 and 27032 is 4

Greatest Common Factor of 27028 and 27032 by matching factors method

Factors of 27028

List of positive integer factors of 27028 that divides 27028 without a remainder.

1,2,4,29,58,116,233,466,932,6757,13514,27028

Factors of 27032

List of positive integer factors of 27032 that divides 27032 without a remainder.

1,2,4,8,31,62,109,124,218,248,436,872,3379,6758,13516,27032

Greatest Common Factor

We found the factors and prime factorization of 27028 and 27032. The biggest common factor number is the GCF number.
So the greatest common factor 27028 and 27032 is 4.

Also check out the Least Common Multiple of 27028 and 27032

Properties of GCF 27028 and 27032

(i) The GCF of 27028 and 27032 is associative

GCF of 27028 and 27032 = GCF of 27032 and 27028

Related Greatest Common Factor of 27028

Related Greatest Common Factor of 27032

Frequently Asked Questions on GCF of 27028 and 27032

1. What is the GCF of 27028 and 27032?

Answer: GCF of 27028 and 27032 is 4.

2. What are the Factors of 27028?

Answer: Factors of 27028 are 1, 2, 4, 29, 58, 116, 233, 466, 932, 6757, 13514, 27028. There are 12 integers that are factors of 27028. The greatest factor of 27028 is 27028.

3. What are the Factors of 27032?

Answer: Factors of 27032 are 1, 2, 4, 8, 31, 62, 109, 124, 218, 248, 436, 872, 3379, 6758, 13516, 27032. There are 16 integers that are factors of 27032. The greatest factor of 27032 is 27032.

4. How to Find the GCF of 27028 and 27032?

Answer:

Greatest Common Factor of 27028 and 27032 = 4

Step 1: Find the prime factorization of 27028

27028 = 2 x 2 x 29 x 233

Step 2: Find the prime factorization of 27032

27032 = 2 x 2 x 2 x 31 x 109

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 27028 and 27032 is 4