Greatest Common Factor of 4278 and 4284

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 4278, 4284 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4278 and 4284 is 6.

GCF(4278,4284) = 6

GCF of 4278 and 4284

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

GCF of:
and

Greatest Common Factor of 4278 and 4284

GCF of 4278 and 4284 is 6

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

Prime Factorization of 4284


2 4284
2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 4284 are 2,3,7,17. Prime factorization of 4284 in exponential form is:

4284 = 22×32×71×171

∴ So by taking common prime factors GCF of 4278 and 4284 is 6

Greatest Common Factor of 4278 and 4284 by matching factors method

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

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284

Greatest Common Factor

We found the factors and prime factorization of 4278 and 4284. The biggest common factor number is the GCF number.
So the greatest common factor 4278 and 4284 is 6.

Also check out the Least Common Multiple of 4278 and 4284

Properties of GCF 4278 and 4284

(i) The GCF of 4278 and 4284 is associative

GCF of 4278 and 4284 = GCF of 4284 and 4278

Related Greatest Common Factor of 4278

Related Greatest Common Factor of 4284

Frequently Asked Questions on GCF of 4278 and 4284

1. What is the GCF of 4278 and 4284?

Answer: GCF of 4278 and 4284 is 6.

2. 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.

3. What are the Factors of 4284?

Answer: Factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284. There are 36 integers that are factors of 4284. The greatest factor of 4284 is 4284.

4. How to Find the GCF of 4278 and 4284?

Answer:

Greatest Common Factor of 4278 and 4284 = 6

Step 1: Find the prime factorization of 4278

4278 = 2 x 3 x 23 x 31

Step 2: Find the prime factorization of 4284

4284 = 2 x 2 x 3 x 3 x 7 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4278 and 4284 is 6