Greatest Common Factor of 4284 and 4292

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, 4292 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4284 and 4292 is 4.

GCF(4284,4292) = 4

GCF of 4284 and 4292

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

GCF of:
and

Greatest Common Factor of 4284 and 4292

GCF of 4284 and 4292 is 4

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 4292


2 4292
2 2146
29 1073
37 37
1

Prime factors of 4292 are 2,29,37. Prime factorization of 4292 in exponential form is:

4292 = 22×291×371

∴ So by taking common prime factors GCF of 4284 and 4292 is 4

Greatest Common Factor of 4284 and 4292 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 4292

List of positive integer factors of 4292 that divides 4292 without a remainder.

1,2,4,29,37,58,74,116,148,1073,2146,4292

Greatest Common Factor

We found the factors and prime factorization of 4284 and 4292. The biggest common factor number is the GCF number.
So the greatest common factor 4284 and 4292 is 4.

Also check out the Least Common Multiple of 4284 and 4292

Properties of GCF 4284 and 4292

(i) The GCF of 4284 and 4292 is associative

GCF of 4284 and 4292 = GCF of 4292 and 4284

Related Greatest Common Factor of 4284

Related Greatest Common Factor of 4292

Frequently Asked Questions on GCF of 4284 and 4292

1. What is the GCF of 4284 and 4292?

Answer: GCF of 4284 and 4292 is 4.

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 4292?

Answer: Factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292. There are 12 integers that are factors of 4292. The greatest factor of 4292 is 4292.

4. How to Find the GCF of 4284 and 4292?

Answer:

Greatest Common Factor of 4284 and 4292 = 4

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 4292

4292 = 2 x 2 x 29 x 37

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4284 and 4292 is 4