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 26319, 26325 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 26319 and 26325 is 3.
GCF(26319,26325) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 26319
3 | 26319 |
31 | 8773 |
283 | 283 |
1 |
Prime factors of 26319 are 3,31,283. Prime factorization of 26319 in exponential form is:
26319 = 31×311×2831
Prime Factorization of 26325
3 | 26325 |
3 | 8775 |
3 | 2925 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 26325 are 3,5,13. Prime factorization of 26325 in exponential form is:
26325 = 34×52×131
∴ So by taking common prime factors GCF of 26319 and 26325 is 3
Factors of 26319
List of positive integer factors of 26319 that divides 26319 without a remainder.
1,3,31,93,283,849,8773,26319
Factors of 26325
List of positive integer factors of 26325 that divides 26325 without a remainder.
1,3,5,9,13,15,25,27,39,45,65,75,81,117,135,195,225,325,351,405,585,675,975,1053,1755,2025,2925,5265,8775,26325
Greatest Common Factor
We found the factors and prime factorization of 26319 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26319 and 26325 is 3.
Also check out the Least Common Multiple of 26319 and 26325
(i) The GCF of 26319 and 26325 is associative
GCF of 26319 and 26325 = GCF of 26325 and 26319
1. What is the GCF of 26319 and 26325?
Answer: GCF of 26319 and 26325 is 3.
2. What are the Factors of 26319?
Answer: Factors of 26319 are 1, 3, 31, 93, 283, 849, 8773, 26319. There are 8 integers that are factors of 26319. The greatest factor of 26319 is 26319.
3. What are the Factors of 26325?
Answer: Factors of 26325 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775, 26325. There are 30 integers that are factors of 26325. The greatest factor of 26325 is 26325.
4. How to Find the GCF of 26319 and 26325?
Answer:
Greatest Common Factor of 26319 and 26325 = 3
Step 1: Find the prime factorization of 26319
26319 = 3 x 31 x 283
Step 2: Find the prime factorization of 26325
26325 = 3 x 3 x 3 x 3 x 5 x 5 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 26319 and 26325 is 3