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 31318, 31325 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 31318 and 31325 is 7.
GCF(31318,31325) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 31318
2 | 31318 |
7 | 15659 |
2237 | 2237 |
1 |
Prime factors of 31318 are 2,7,2237. Prime factorization of 31318 in exponential form is:
31318 = 21×71×22371
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
∴ So by taking common prime factors GCF of 31318 and 31325 is 7
Factors of 31318
List of positive integer factors of 31318 that divides 31318 without a remainder.
1,2,7,14,2237,4474,15659,31318
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
Greatest Common Factor
We found the factors and prime factorization of 31318 and 31325. The biggest common factor number is the GCF number.
So the greatest common factor 31318 and 31325 is 7.
Also check out the Least Common Multiple of 31318 and 31325
(i) The GCF of 31318 and 31325 is associative
GCF of 31318 and 31325 = GCF of 31325 and 31318
1. What is the GCF of 31318 and 31325?
Answer: GCF of 31318 and 31325 is 7.
2. What are the Factors of 31318?
Answer: Factors of 31318 are 1, 2, 7, 14, 2237, 4474, 15659, 31318. There are 8 integers that are factors of 31318. The greatest factor of 31318 is 31318.
3. 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.
4. How to Find the GCF of 31318 and 31325?
Answer:
Greatest Common Factor of 31318 and 31325 = 7
Step 1: Find the prime factorization of 31318
31318 = 2 x 7 x 2237
Step 2: Find the prime factorization of 31325
31325 = 5 x 5 x 7 x 179
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 31318 and 31325 is 7