Greatest Common Factor of 28299 and 28302

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 28299, 28302 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28299 and 28302 is 3.

GCF(28299,28302) = 3

GCF of 28299 and 28302

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

GCF of:
and

Greatest Common Factor of 28299 and 28302

GCF of 28299 and 28302 is 3

Prime Factorization of 28299


3 28299
9433 9433
1

Prime factors of 28299 are 3,9433. Prime factorization of 28299 in exponential form is:

28299 = 31×94331

Prime Factorization of 28302


2 28302
3 14151
53 4717
89 89
1

Prime factors of 28302 are 2,3,53,89. Prime factorization of 28302 in exponential form is:

28302 = 21×31×531×891

∴ So by taking common prime factors GCF of 28299 and 28302 is 3

Greatest Common Factor of 28299 and 28302 by matching factors method

Factors of 28299

List of positive integer factors of 28299 that divides 28299 without a remainder.

1,3,9433,28299

Factors of 28302

List of positive integer factors of 28302 that divides 28302 without a remainder.

1,2,3,6,53,89,106,159,178,267,318,534,4717,9434,14151,28302

Greatest Common Factor

We found the factors and prime factorization of 28299 and 28302. The biggest common factor number is the GCF number.
So the greatest common factor 28299 and 28302 is 3.

Also check out the Least Common Multiple of 28299 and 28302

Properties of GCF 28299 and 28302

(i) The GCF of 28299 and 28302 is associative

GCF of 28299 and 28302 = GCF of 28302 and 28299

Related Greatest Common Factor of 28299

Related Greatest Common Factor of 28302

Frequently Asked Questions on GCF of 28299 and 28302

1. What is the GCF of 28299 and 28302?

Answer: GCF of 28299 and 28302 is 3.

2. What are the Factors of 28299?

Answer: Factors of 28299 are 1, 3, 9433, 28299. There are 4 integers that are factors of 28299. The greatest factor of 28299 is 28299.

3. What are the Factors of 28302?

Answer: Factors of 28302 are 1, 2, 3, 6, 53, 89, 106, 159, 178, 267, 318, 534, 4717, 9434, 14151, 28302. There are 16 integers that are factors of 28302. The greatest factor of 28302 is 28302.

4. How to Find the GCF of 28299 and 28302?

Answer:

Greatest Common Factor of 28299 and 28302 = 3

Step 1: Find the prime factorization of 28299

28299 = 3 x 9433

Step 2: Find the prime factorization of 28302

28302 = 2 x 3 x 53 x 89

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

GCF = 3

Step 4: Therefore, the greatest common factor of 28299 and 28302 is 3