Greatest Common Factor of 7122 and 7128

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 7122, 7128 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7122 and 7128 is 6.

GCF(7122,7128) = 6

GCF of 7122 and 7128

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

GCF of:
and

Greatest Common Factor of 7122 and 7128

GCF of 7122 and 7128 is 6

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2,3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

Prime Factorization of 7128


2 7128
2 3564
2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 7128 are 2,3,11. Prime factorization of 7128 in exponential form is:

7128 = 23×34×111

∴ So by taking common prime factors GCF of 7122 and 7128 is 6

Greatest Common Factor of 7122 and 7128 by matching factors method

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Factors of 7128

List of positive integer factors of 7128 that divides 7128 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128

Greatest Common Factor

We found the factors and prime factorization of 7122 and 7128. The biggest common factor number is the GCF number.
So the greatest common factor 7122 and 7128 is 6.

Also check out the Least Common Multiple of 7122 and 7128

Properties of GCF 7122 and 7128

(i) The GCF of 7122 and 7128 is associative

GCF of 7122 and 7128 = GCF of 7128 and 7122

Related Greatest Common Factor of 7122

Related Greatest Common Factor of 7128

Frequently Asked Questions on GCF of 7122 and 7128

1. What is the GCF of 7122 and 7128?

Answer: GCF of 7122 and 7128 is 6.

2. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

3. What are the Factors of 7128?

Answer: Factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128. There are 40 integers that are factors of 7128. The greatest factor of 7128 is 7128.

4. How to Find the GCF of 7122 and 7128?

Answer:

Greatest Common Factor of 7122 and 7128 = 6

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

Step 2: Find the prime factorization of 7128

7128 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11

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 7122 and 7128 is 6