Greatest Common Factor of 4122 and 4128

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 4122, 4128 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4122 and 4128 is 6.

GCF(4122,4128) = 6

GCF of 4122 and 4128

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

GCF of:
and

Greatest Common Factor of 4122 and 4128

GCF of 4122 and 4128 is 6

Prime Factorization of 4122


2 4122
3 2061
3 687
229 229
1

Prime factors of 4122 are 2,3,229. Prime factorization of 4122 in exponential form is:

4122 = 21×32×2291

Prime Factorization of 4128


2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 4128 are 2,3,43. Prime factorization of 4128 in exponential form is:

4128 = 25×31×431

∴ So by taking common prime factors GCF of 4122 and 4128 is 6

Greatest Common Factor of 4122 and 4128 by matching factors method

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Factors of 4128

List of positive integer factors of 4128 that divides 4128 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128

Greatest Common Factor

We found the factors and prime factorization of 4122 and 4128. The biggest common factor number is the GCF number.
So the greatest common factor 4122 and 4128 is 6.

Also check out the Least Common Multiple of 4122 and 4128

Properties of GCF 4122 and 4128

(i) The GCF of 4122 and 4128 is associative

GCF of 4122 and 4128 = GCF of 4128 and 4122

Related Greatest Common Factor of 4122

Related Greatest Common Factor of 4128

Frequently Asked Questions on GCF of 4122 and 4128

1. What is the GCF of 4122 and 4128?

Answer: GCF of 4122 and 4128 is 6.

2. What are the Factors of 4122?

Answer: Factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122. There are 12 integers that are factors of 4122. The greatest factor of 4122 is 4122.

3. What are the Factors of 4128?

Answer: Factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128. There are 24 integers that are factors of 4128. The greatest factor of 4128 is 4128.

4. How to Find the GCF of 4122 and 4128?

Answer:

Greatest Common Factor of 4122 and 4128 = 6

Step 1: Find the prime factorization of 4122

4122 = 2 x 3 x 3 x 229

Step 2: Find the prime factorization of 4128

4128 = 2 x 2 x 2 x 2 x 2 x 3 x 43

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 4122 and 4128 is 6