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 10318, 10323 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10318 and 10323 is 1.
GCF(10318,10323) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10318
2 | 10318 |
7 | 5159 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 10318 are 2,7,11,67. Prime factorization of 10318 in exponential form is:
10318 = 21×71×111×671
Prime Factorization of 10323
3 | 10323 |
3 | 3441 |
31 | 1147 |
37 | 37 |
1 |
Prime factors of 10323 are 3,31,37. Prime factorization of 10323 in exponential form is:
10323 = 32×311×371
∴ So by taking common prime factors GCF of 10318 and 10323 is 1
Factors of 10318
List of positive integer factors of 10318 that divides 10318 without a remainder.
1,2,7,11,14,22,67,77,134,154,469,737,938,1474,5159,10318
Factors of 10323
List of positive integer factors of 10323 that divides 10323 without a remainder.
1,3,9,31,37,93,111,279,333,1147,3441,10323
Greatest Common Factor
We found the factors and prime factorization of 10318 and 10323. The biggest common factor number is the GCF number.
So the greatest common factor 10318 and 10323 is 1.
Also check out the Least Common Multiple of 10318 and 10323
(i) The GCF of 10318 and 10323 is associative
GCF of 10318 and 10323 = GCF of 10323 and 10318
1. What is the GCF of 10318 and 10323?
Answer: GCF of 10318 and 10323 is 1.
2. What are the Factors of 10318?
Answer: Factors of 10318 are 1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318. There are 16 integers that are factors of 10318. The greatest factor of 10318 is 10318.
3. What are the Factors of 10323?
Answer: Factors of 10323 are 1, 3, 9, 31, 37, 93, 111, 279, 333, 1147, 3441, 10323. There are 12 integers that are factors of 10323. The greatest factor of 10323 is 10323.
4. How to Find the GCF of 10318 and 10323?
Answer:
Greatest Common Factor of 10318 and 10323 = 1
Step 1: Find the prime factorization of 10318
10318 = 2 x 7 x 11 x 67
Step 2: Find the prime factorization of 10323
10323 = 3 x 3 x 31 x 37
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 10318 and 10323 is 1