Greatest Common Factor of 28238 and 28242

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 28238, 28242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28238 and 28242 is 2.

GCF(28238,28242) = 2

GCF of 28238 and 28242

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

GCF of:
and

Greatest Common Factor of 28238 and 28242

GCF of 28238 and 28242 is 2

Prime Factorization of 28238


2 28238
7 14119
2017 2017
1

Prime factors of 28238 are 2,7,2017. Prime factorization of 28238 in exponential form is:

28238 = 21×71×20171

Prime Factorization of 28242


2 28242
3 14121
3 4707
3 1569
523 523
1

Prime factors of 28242 are 2,3,523. Prime factorization of 28242 in exponential form is:

28242 = 21×33×5231

∴ So by taking common prime factors GCF of 28238 and 28242 is 2

Greatest Common Factor of 28238 and 28242 by matching factors method

Factors of 28238

List of positive integer factors of 28238 that divides 28238 without a remainder.

1,2,7,14,2017,4034,14119,28238

Factors of 28242

List of positive integer factors of 28242 that divides 28242 without a remainder.

1,2,3,6,9,18,27,54,523,1046,1569,3138,4707,9414,14121,28242

Greatest Common Factor

We found the factors and prime factorization of 28238 and 28242. The biggest common factor number is the GCF number.
So the greatest common factor 28238 and 28242 is 2.

Also check out the Least Common Multiple of 28238 and 28242

Properties of GCF 28238 and 28242

(i) The GCF of 28238 and 28242 is associative

GCF of 28238 and 28242 = GCF of 28242 and 28238

Related Greatest Common Factor of 28238

Related Greatest Common Factor of 28242

Frequently Asked Questions on GCF of 28238 and 28242

1. What is the GCF of 28238 and 28242?

Answer: GCF of 28238 and 28242 is 2.

2. What are the Factors of 28238?

Answer: Factors of 28238 are 1, 2, 7, 14, 2017, 4034, 14119, 28238. There are 8 integers that are factors of 28238. The greatest factor of 28238 is 28238.

3. What are the Factors of 28242?

Answer: Factors of 28242 are 1, 2, 3, 6, 9, 18, 27, 54, 523, 1046, 1569, 3138, 4707, 9414, 14121, 28242. There are 16 integers that are factors of 28242. The greatest factor of 28242 is 28242.

4. How to Find the GCF of 28238 and 28242?

Answer:

Greatest Common Factor of 28238 and 28242 = 2

Step 1: Find the prime factorization of 28238

28238 = 2 x 7 x 2017

Step 2: Find the prime factorization of 28242

28242 = 2 x 3 x 3 x 3 x 523

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 28238 and 28242 is 2