Greatest Common Factor of 4268 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 4268, 4275 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4268 and 4275 is 1.

GCF(4268,4275) = 1

GCF of 4268 and 4275

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

GCF of:
and

Greatest Common Factor of 4268 and 4275

GCF of 4268 and 4275 is 1

Prime Factorization of 4268


2 4268
2 2134
11 1067
97 97
1

Prime factors of 4268 are 2,11,97. Prime factorization of 4268 in exponential form is:

4268 = 22×111×971

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 4268 and 4275 is 1

Greatest Common Factor of 4268 and 4275 by matching factors method

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

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 4268 and 4275. The biggest common factor number is the GCF number.
So the greatest common factor 4268 and 4275 is 1.

Also check out the Least Common Multiple of 4268 and 4275

Properties of GCF 4268 and 4275

(i) The GCF of 4268 and 4275 is associative

GCF of 4268 and 4275 = GCF of 4275 and 4268

Related Greatest Common Factor of 4268

Related Greatest Common Factor of 4275

Frequently Asked Questions on GCF of 4268 and 4275

1. What is the GCF of 4268 and 4275?

Answer: GCF of 4268 and 4275 is 1.

2. What are the Factors of 4268?

Answer: Factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268. There are 12 integers that are factors of 4268. The greatest factor of 4268 is 4268.

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 4268 and 4275?

Answer:

Greatest Common Factor of 4268 and 4275 = 1

Step 1: Find the prime factorization of 4268

4268 = 2 x 2 x 11 x 97

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 = = 1

Step 4: Therefore, the greatest common factor of 4268 and 4275 is 1