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 8117, 8125 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8117 and 8125 is 1.
GCF(8117,8125) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8117
8117 | 8117 |
1 |
Prime factors of 8117 are 8117. Prime factorization of 8117 in exponential form is:
8117 = 81171
Prime Factorization of 8125
5 | 8125 |
5 | 1625 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 8125 are 5.Prime factorization of 8125 in exponential form is:
8125 = 54×131
∴ So by taking common prime factors GCF of 8117 and 8125 is 1
Factors of 8117
List of positive integer factors of 8117 that divides 8117 without a remainder.
1,8117
Factors of 8125
List of positive integer factors of 8125 that divides 8125 without a remainder.
1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors and prime factorization of 8117 and 8125. The biggest common factor number is the GCF number.
So the greatest common factor 8117 and 8125 is 1.
Also check out the Least Common Multiple of 8117 and 8125
(i) The GCF of 8117 and 8125 is associative
GCF of 8117 and 8125 = GCF of 8125 and 8117
1. What is the GCF of 8117 and 8125?
Answer: GCF of 8117 and 8125 is 1.
2. What are the Factors of 8117?
Answer: Factors of 8117 are 1, 8117. There are 2 integers that are factors of 8117. The greatest factor of 8117 is 8117.
3. What are the Factors of 8125?
Answer: Factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125. There are 10 integers that are factors of 8125. The greatest factor of 8125 is 8125.
4. How to Find the GCF of 8117 and 8125?
Answer:
Greatest Common Factor of 8117 and 8125 = 1
Step 1: Find the prime factorization of 8117
8117 = 8117
Step 2: Find the prime factorization of 8125
8125 = 5 x 5 x 5 x 5 x 13
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 8117 and 8125 is 1