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 10325, 10331 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10325 and 10331 is 1.
GCF(10325,10331) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10325
5 | 10325 |
5 | 2065 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 10325 are 5,7,59. Prime factorization of 10325 in exponential form is:
10325 = 52×71×591
Prime Factorization of 10331
10331 | 10331 |
1 |
Prime factors of 10331 are 10331. Prime factorization of 10331 in exponential form is:
10331 = 103311
∴ So by taking common prime factors GCF of 10325 and 10331 is 1
Factors of 10325
List of positive integer factors of 10325 that divides 10325 without a remainder.
1,5,7,25,35,59,175,295,413,1475,2065,10325
Factors of 10331
List of positive integer factors of 10331 that divides 10331 without a remainder.
1,10331
Greatest Common Factor
We found the factors and prime factorization of 10325 and 10331. The biggest common factor number is the GCF number.
So the greatest common factor 10325 and 10331 is 1.
Also check out the Least Common Multiple of 10325 and 10331
(i) The GCF of 10325 and 10331 is associative
GCF of 10325 and 10331 = GCF of 10331 and 10325
1. What is the GCF of 10325 and 10331?
Answer: GCF of 10325 and 10331 is 1.
2. What are the Factors of 10325?
Answer: Factors of 10325 are 1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325. There are 12 integers that are factors of 10325. The greatest factor of 10325 is 10325.
3. What are the Factors of 10331?
Answer: Factors of 10331 are 1, 10331. There are 2 integers that are factors of 10331. The greatest factor of 10331 is 10331.
4. How to Find the GCF of 10325 and 10331?
Answer:
Greatest Common Factor of 10325 and 10331 = 1
Step 1: Find the prime factorization of 10325
10325 = 5 x 5 x 7 x 59
Step 2: Find the prime factorization of 10331
10331 = 10331
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 10325 and 10331 is 1