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 31325, 31333 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 31325 and 31333 is 1.
GCF(31325,31333) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 31325
5 | 31325 |
5 | 6265 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 31325 are 5,7,179. Prime factorization of 31325 in exponential form is:
31325 = 52×71×1791
Prime Factorization of 31333
31333 | 31333 |
1 |
Prime factors of 31333 are 31333. Prime factorization of 31333 in exponential form is:
31333 = 313331
∴ So by taking common prime factors GCF of 31325 and 31333 is 1
Factors of 31325
List of positive integer factors of 31325 that divides 31325 without a remainder.
1,5,7,25,35,175,179,895,1253,4475,6265,31325
Factors of 31333
List of positive integer factors of 31333 that divides 31333 without a remainder.
1,31333
Greatest Common Factor
We found the factors and prime factorization of 31325 and 31333. The biggest common factor number is the GCF number.
So the greatest common factor 31325 and 31333 is 1.
Also check out the Least Common Multiple of 31325 and 31333
(i) The GCF of 31325 and 31333 is associative
GCF of 31325 and 31333 = GCF of 31333 and 31325
1. What is the GCF of 31325 and 31333?
Answer: GCF of 31325 and 31333 is 1.
2. What are the Factors of 31325?
Answer: Factors of 31325 are 1, 5, 7, 25, 35, 175, 179, 895, 1253, 4475, 6265, 31325. There are 12 integers that are factors of 31325. The greatest factor of 31325 is 31325.
3. What are the Factors of 31333?
Answer: Factors of 31333 are 1, 31333. There are 2 integers that are factors of 31333. The greatest factor of 31333 is 31333.
4. How to Find the GCF of 31325 and 31333?
Answer:
Greatest Common Factor of 31325 and 31333 = 1
Step 1: Find the prime factorization of 31325
31325 = 5 x 5 x 7 x 179
Step 2: Find the prime factorization of 31333
31333 = 31333
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 31325 and 31333 is 1