Greatest Common Factor of 27022 and 27028

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 27022, 27028 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27022 and 27028 is 2.

GCF(27022,27028) = 2

GCF of 27022 and 27028

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

GCF of:
and

Greatest Common Factor of 27022 and 27028

GCF of 27022 and 27028 is 2

Prime Factorization of 27022


2 27022
59 13511
229 229
1

Prime factors of 27022 are 2,59,229. Prime factorization of 27022 in exponential form is:

27022 = 21×591×2291

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

∴ So by taking common prime factors GCF of 27022 and 27028 is 2

Greatest Common Factor of 27022 and 27028 by matching factors method

Factors of 27022

List of positive integer factors of 27022 that divides 27022 without a remainder.

1,2,59,118,229,458,13511,27022

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

Greatest Common Factor

We found the factors and prime factorization of 27022 and 27028. The biggest common factor number is the GCF number.
So the greatest common factor 27022 and 27028 is 2.

Also check out the Least Common Multiple of 27022 and 27028

Properties of GCF 27022 and 27028

(i) The GCF of 27022 and 27028 is associative

GCF of 27022 and 27028 = GCF of 27028 and 27022

Related Greatest Common Factor of 27022

Related Greatest Common Factor of 27028

Frequently Asked Questions on GCF of 27022 and 27028

1. What is the GCF of 27022 and 27028?

Answer: GCF of 27022 and 27028 is 2.

2. What are the Factors of 27022?

Answer: Factors of 27022 are 1, 2, 59, 118, 229, 458, 13511, 27022. There are 8 integers that are factors of 27022. The greatest factor of 27022 is 27022.

3. 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.

4. How to Find the GCF of 27022 and 27028?

Answer:

Greatest Common Factor of 27022 and 27028 = 2

Step 1: Find the prime factorization of 27022

27022 = 2 x 59 x 229

Step 2: Find the prime factorization of 27028

27028 = 2 x 2 x 29 x 233

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 27022 and 27028 is 2