Greatest Common Factor of 4263 and 4269

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 4263, 4269 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4263 and 4269 is 3.

GCF(4263,4269) = 3

GCF of 4263 and 4269

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

GCF of:
and

Greatest Common Factor of 4263 and 4269

GCF of 4263 and 4269 is 3

Prime Factorization of 4263


3 4263
7 1421
7 203
29 29
1

Prime factors of 4263 are 3,7,29. Prime factorization of 4263 in exponential form is:

4263 = 31×72×291

Prime Factorization of 4269


3 4269
1423 1423
1

Prime factors of 4269 are 3,1423. Prime factorization of 4269 in exponential form is:

4269 = 31×14231

∴ So by taking common prime factors GCF of 4263 and 4269 is 3

Greatest Common Factor of 4263 and 4269 by matching factors method

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1,3,7,21,29,49,87,147,203,609,1421,4263

Factors of 4269

List of positive integer factors of 4269 that divides 4269 without a remainder.

1,3,1423,4269

Greatest Common Factor

We found the factors and prime factorization of 4263 and 4269. The biggest common factor number is the GCF number.
So the greatest common factor 4263 and 4269 is 3.

Also check out the Least Common Multiple of 4263 and 4269

Properties of GCF 4263 and 4269

(i) The GCF of 4263 and 4269 is associative

GCF of 4263 and 4269 = GCF of 4269 and 4263

Frequently Asked Questions on GCF of 4263 and 4269

1. What is the GCF of 4263 and 4269?

Answer: GCF of 4263 and 4269 is 3.

2. What are the Factors of 4263?

Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.

3. What are the Factors of 4269?

Answer: Factors of 4269 are 1, 3, 1423, 4269. There are 4 integers that are factors of 4269. The greatest factor of 4269 is 4269.

4. How to Find the GCF of 4263 and 4269?

Answer:

Greatest Common Factor of 4263 and 4269 = 3

Step 1: Find the prime factorization of 4263

4263 = 3 x 7 x 7 x 29

Step 2: Find the prime factorization of 4269

4269 = 3 x 1423

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 4263 and 4269 is 3