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 7125, 7131 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7125 and 7131 is 3.
GCF(7125,7131) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7131
3 | 7131 |
2377 | 2377 |
1 |
Prime factors of 7131 are 3,2377. Prime factorization of 7131 in exponential form is:
7131 = 31×23771
∴ So by taking common prime factors GCF of 7125 and 7131 is 3
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
Factors of 7131
List of positive integer factors of 7131 that divides 7131 without a remainder.
1,3,2377,7131
Greatest Common Factor
We found the factors and prime factorization of 7125 and 7131. The biggest common factor number is the GCF number.
So the greatest common factor 7125 and 7131 is 3.
Also check out the Least Common Multiple of 7125 and 7131
(i) The GCF of 7125 and 7131 is associative
GCF of 7125 and 7131 = GCF of 7131 and 7125
1. What is the GCF of 7125 and 7131?
Answer: GCF of 7125 and 7131 is 3.
2. 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.
3. What are the Factors of 7131?
Answer: Factors of 7131 are 1, 3, 2377, 7131. There are 4 integers that are factors of 7131. The greatest factor of 7131 is 7131.
4. How to Find the GCF of 7125 and 7131?
Answer:
Greatest Common Factor of 7125 and 7131 = 3
Step 1: Find the prime factorization of 7125
7125 = 3 x 5 x 5 x 5 x 19
Step 2: Find the prime factorization of 7131
7131 = 3 x 2377
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 7125 and 7131 is 3