Greatest Common Factor of 4269 and 4275

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 4269, 4275 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4269 and 4275 is 3.

GCF(4269,4275) = 3

GCF of 4269 and 4275

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

GCF of:
and

Greatest Common Factor of 4269 and 4275

GCF of 4269 and 4275 is 3

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

Prime Factorization of 4275


3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 4275 are 3,5,19. Prime factorization of 4275 in exponential form is:

4275 = 32×52×191

∴ So by taking common prime factors GCF of 4269 and 4275 is 3

Greatest Common Factor of 4269 and 4275 by matching factors method

Factors of 4269

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

1,3,1423,4269

Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275

Greatest Common Factor

We found the factors and prime factorization of 4269 and 4275. The biggest common factor number is the GCF number.
So the greatest common factor 4269 and 4275 is 3.

Also check out the Least Common Multiple of 4269 and 4275

Properties of GCF 4269 and 4275

(i) The GCF of 4269 and 4275 is associative

GCF of 4269 and 4275 = GCF of 4275 and 4269

Related Greatest Common Factor of 4269

Related Greatest Common Factor of 4275

Frequently Asked Questions on GCF of 4269 and 4275

1. What is the GCF of 4269 and 4275?

Answer: GCF of 4269 and 4275 is 3.

2. 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.

3. What are the Factors of 4275?

Answer: Factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275. There are 18 integers that are factors of 4275. The greatest factor of 4275 is 4275.

4. How to Find the GCF of 4269 and 4275?

Answer:

Greatest Common Factor of 4269 and 4275 = 3

Step 1: Find the prime factorization of 4269

4269 = 3 x 1423

Step 2: Find the prime factorization of 4275

4275 = 3 x 3 x 5 x 5 x 19

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 4269 and 4275 is 3