Greatest Common Factor of 28231 and 28237

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 28231, 28237 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28231 and 28237 is 1.

GCF(28231,28237) = 1

GCF of 28231 and 28237

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

GCF of:
and

Greatest Common Factor of 28231 and 28237

GCF of 28231 and 28237 is 1

Prime Factorization of 28231


7 28231
37 4033
109 109
1

Prime factors of 28231 are 7,37,109. Prime factorization of 28231 in exponential form is:

28231 = 71×371×1091

Prime Factorization of 28237


11 28237
17 2567
151 151
1

Prime factors of 28237 are 11,17,151. Prime factorization of 28237 in exponential form is:

28237 = 111×171×1511

∴ So by taking common prime factors GCF of 28231 and 28237 is 1

Greatest Common Factor of 28231 and 28237 by matching factors method

Factors of 28231

List of positive integer factors of 28231 that divides 28231 without a remainder.

1,7,37,109,259,763,4033,28231

Factors of 28237

List of positive integer factors of 28237 that divides 28237 without a remainder.

1,11,17,151,187,1661,2567,28237

Greatest Common Factor

We found the factors and prime factorization of 28231 and 28237. The biggest common factor number is the GCF number.
So the greatest common factor 28231 and 28237 is 1.

Also check out the Least Common Multiple of 28231 and 28237

Properties of GCF 28231 and 28237

(i) The GCF of 28231 and 28237 is associative

GCF of 28231 and 28237 = GCF of 28237 and 28231

Frequently Asked Questions on GCF of 28231 and 28237

1. What is the GCF of 28231 and 28237?

Answer: GCF of 28231 and 28237 is 1.

2. What are the Factors of 28231?

Answer: Factors of 28231 are 1, 7, 37, 109, 259, 763, 4033, 28231. There are 8 integers that are factors of 28231. The greatest factor of 28231 is 28231.

3. What are the Factors of 28237?

Answer: Factors of 28237 are 1, 11, 17, 151, 187, 1661, 2567, 28237. There are 8 integers that are factors of 28237. The greatest factor of 28237 is 28237.

4. How to Find the GCF of 28231 and 28237?

Answer:

Greatest Common Factor of 28231 and 28237 = 1

Step 1: Find the prime factorization of 28231

28231 = 7 x 37 x 109

Step 2: Find the prime factorization of 28237

28237 = 11 x 17 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 28231 and 28237 is 1