Greatest Common Factor of 4270 and 4278

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, 4278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4270 and 4278 is 2.

GCF(4270,4278) = 2

GCF of 4270 and 4278

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

GCF of:
and

Greatest Common Factor of 4270 and 4278

GCF of 4270 and 4278 is 2

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 4278


2 4278
3 2139
23 713
31 31
1

Prime factors of 4278 are 2,3,23,31. Prime factorization of 4278 in exponential form is:

4278 = 21×31×231×311

∴ So by taking common prime factors GCF of 4270 and 4278 is 2

Greatest Common Factor of 4270 and 4278 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 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278

Greatest Common Factor

We found the factors and prime factorization of 4270 and 4278. The biggest common factor number is the GCF number.
So the greatest common factor 4270 and 4278 is 2.

Also check out the Least Common Multiple of 4270 and 4278

Properties of GCF 4270 and 4278

(i) The GCF of 4270 and 4278 is associative

GCF of 4270 and 4278 = GCF of 4278 and 4270

Related Greatest Common Factor of 4270

Related Greatest Common Factor of 4278

Frequently Asked Questions on GCF of 4270 and 4278

1. What is the GCF of 4270 and 4278?

Answer: GCF of 4270 and 4278 is 2.

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 4278?

Answer: Factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278. There are 16 integers that are factors of 4278. The greatest factor of 4278 is 4278.

4. How to Find the GCF of 4270 and 4278?

Answer:

Greatest Common Factor of 4270 and 4278 = 2

Step 1: Find the prime factorization of 4270

4270 = 2 x 5 x 7 x 61

Step 2: Find the prime factorization of 4278

4278 = 2 x 3 x 23 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4270 and 4278 is 2