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 117, 125 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 117 and 125 is 1.
GCF(117,125) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 117
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:
117 = 32×131
Prime Factorization of 125
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:
125 = 53
∴ So by taking common prime factors GCF of 117 and 125 is 1
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors and prime factorization of 117 and 125. The biggest common factor number is the GCF number.
So the greatest common factor 117 and 125 is 1.
Also check out the Least Common Multiple of 117 and 125
(i) The GCF of 117 and 125 is associative
GCF of 117 and 125 = GCF of 125 and 117
1. What is the GCF of 117 and 125?
Answer: GCF of 117 and 125 is 1.
2. What are the Factors of 117?
Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.
3. What are the Factors of 125?
Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.
4. How to Find the GCF of 117 and 125?
Answer:
Greatest Common Factor of 117 and 125 = 1
Step 1: Find the prime factorization of 117
117 = 3 x 3 x 13
Step 2: Find the prime factorization of 125
125 = 5 x 5 x 5
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 117 and 125 is 1