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 9125, 9127 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9125 and 9127 is 1.
GCF(9125,9127) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9125
5 | 9125 |
5 | 1825 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:
9125 = 53×731
Prime Factorization of 9127
9127 | 9127 |
1 |
Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:
9127 = 91271
∴ So by taking common prime factors GCF of 9125 and 9127 is 1
Factors of 9125
List of positive integer factors of 9125 that divides 9125 without a remainder.
1,5,25,73,125,365,1825,9125
Factors of 9127
List of positive integer factors of 9127 that divides 9127 without a remainder.
1,9127
Greatest Common Factor
We found the factors and prime factorization of 9125 and 9127. The biggest common factor number is the GCF number.
So the greatest common factor 9125 and 9127 is 1.
Also check out the Least Common Multiple of 9125 and 9127
(i) The GCF of 9125 and 9127 is associative
GCF of 9125 and 9127 = GCF of 9127 and 9125
1. What is the GCF of 9125 and 9127?
Answer: GCF of 9125 and 9127 is 1.
2. What are the Factors of 9125?
Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.
3. What are the Factors of 9127?
Answer: Factors of 9127 are 1, 9127. There are 2 integers that are factors of 9127. The greatest factor of 9127 is 9127.
4. How to Find the GCF of 9125 and 9127?
Answer:
Greatest Common Factor of 9125 and 9127 = 1
Step 1: Find the prime factorization of 9125
9125 = 5 x 5 x 5 x 73
Step 2: Find the prime factorization of 9127
9127 = 9127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9125 and 9127 is 1