Greatest Common Factor of 4270 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 4270, 4275 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4270 and 4275 is 5.

GCF(4270,4275) = 5

GCF of 4270 and 4275

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

GCF of:
and

Greatest Common Factor of 4270 and 4275

GCF of 4270 and 4275 is 5

Prime Factorization of 4270


2 4270
5 2135
7 427
61 61
1

Prime factors of 4270 are 2,5,7,61. Prime factorization of 4270 in exponential form is:

4270 = 21×51×71×611

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 4270 and 4275 is 5

Greatest Common Factor of 4270 and 4275 by matching factors method

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270

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 4270 and 4275. The biggest common factor number is the GCF number.
So the greatest common factor 4270 and 4275 is 5.

Also check out the Least Common Multiple of 4270 and 4275

Properties of GCF 4270 and 4275

(i) The GCF of 4270 and 4275 is associative

GCF of 4270 and 4275 = GCF of 4275 and 4270

Related Greatest Common Factor of 4270

Related Greatest Common Factor of 4275

Frequently Asked Questions on GCF of 4270 and 4275

1. What is the GCF of 4270 and 4275?

Answer: GCF of 4270 and 4275 is 5.

2. What are the Factors of 4270?

Answer: Factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270. There are 16 integers that are factors of 4270. The greatest factor of 4270 is 4270.

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 4270 and 4275?

Answer:

Greatest Common Factor of 4270 and 4275 = 5

Step 1: Find the prime factorization of 4270

4270 = 2 x 5 x 7 x 61

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 = 5

Step 4: Therefore, the greatest common factor of 4270 and 4275 is 5