Greatest Common Factor of 7122 and 7125

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, 7125 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7122 and 7125 is 3.

GCF(7122,7125) = 3

GCF of 7122 and 7125

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

GCF of:
and

Greatest Common Factor of 7122 and 7125

GCF of 7122 and 7125 is 3

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 7125


3 7125
5 2375
5 475
5 95
19 19
1

Prime factors of 7125 are 3,5,19. Prime factorization of 7125 in exponential form is:

7125 = 31×53×191

∴ So by taking common prime factors GCF of 7122 and 7125 is 3

Greatest Common Factor of 7122 and 7125 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 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Greatest Common Factor

We found the factors and prime factorization of 7122 and 7125. The biggest common factor number is the GCF number.
So the greatest common factor 7122 and 7125 is 3.

Also check out the Least Common Multiple of 7122 and 7125

Properties of GCF 7122 and 7125

(i) The GCF of 7122 and 7125 is associative

GCF of 7122 and 7125 = GCF of 7125 and 7122

Related Greatest Common Factor of 7122

Related Greatest Common Factor of 7125

Frequently Asked Questions on GCF of 7122 and 7125

1. What is the GCF of 7122 and 7125?

Answer: GCF of 7122 and 7125 is 3.

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 7125?

Answer: Factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125. There are 16 integers that are factors of 7125. The greatest factor of 7125 is 7125.

4. How to Find the GCF of 7122 and 7125?

Answer:

Greatest Common Factor of 7122 and 7125 = 3

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

Step 2: Find the prime factorization of 7125

7125 = 3 x 5 x 5 x 5 x 19

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7122 and 7125 is 3