Greatest Common Factor of 4284 and 4291

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 4284, 4291 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4284 and 4291 is 7.

GCF(4284,4291) = 7

GCF of 4284 and 4291

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

GCF of:
and

Greatest Common Factor of 4284 and 4291

GCF of 4284 and 4291 is 7

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

Prime Factorization of 4291


7 4291
613 613
1

Prime factors of 4291 are 7,613. Prime factorization of 4291 in exponential form is:

4291 = 71×6131

∴ So by taking common prime factors GCF of 4284 and 4291 is 7

Greatest Common Factor of 4284 and 4291 by matching factors method

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

Factors of 4291

List of positive integer factors of 4291 that divides 4291 without a remainder.

1,7,613,4291

Greatest Common Factor

We found the factors and prime factorization of 4284 and 4291. The biggest common factor number is the GCF number.
So the greatest common factor 4284 and 4291 is 7.

Also check out the Least Common Multiple of 4284 and 4291

Properties of GCF 4284 and 4291

(i) The GCF of 4284 and 4291 is associative

GCF of 4284 and 4291 = GCF of 4291 and 4284

Related Greatest Common Factor of 4284

Related Greatest Common Factor of 4291

Frequently Asked Questions on GCF of 4284 and 4291

1. What is the GCF of 4284 and 4291?

Answer: GCF of 4284 and 4291 is 7.

2. 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.

3. What are the Factors of 4291?

Answer: Factors of 4291 are 1, 7, 613, 4291. There are 4 integers that are factors of 4291. The greatest factor of 4291 is 4291.

4. How to Find the GCF of 4284 and 4291?

Answer:

Greatest Common Factor of 4284 and 4291 = 7

Step 1: Find the prime factorization of 4284

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

Step 2: Find the prime factorization of 4291

4291 = 7 x 613

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4284 and 4291 is 7