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 15417, 15423 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15417 and 15423 is 3.
GCF(15417,15423) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15417
3 | 15417 |
3 | 5139 |
3 | 1713 |
571 | 571 |
1 |
Prime factors of 15417 are 3,571. Prime factorization of 15417 in exponential form is:
15417 = 33×5711
Prime Factorization of 15423
3 | 15423 |
53 | 5141 |
97 | 97 |
1 |
Prime factors of 15423 are 3,53,97. Prime factorization of 15423 in exponential form is:
15423 = 31×531×971
∴ So by taking common prime factors GCF of 15417 and 15423 is 3
Factors of 15417
List of positive integer factors of 15417 that divides 15417 without a remainder.
1,3,9,27,571,1713,5139,15417
Factors of 15423
List of positive integer factors of 15423 that divides 15423 without a remainder.
1,3,53,97,159,291,5141,15423
Greatest Common Factor
We found the factors and prime factorization of 15417 and 15423. The biggest common factor number is the GCF number.
So the greatest common factor 15417 and 15423 is 3.
Also check out the Least Common Multiple of 15417 and 15423
(i) The GCF of 15417 and 15423 is associative
GCF of 15417 and 15423 = GCF of 15423 and 15417
1. What is the GCF of 15417 and 15423?
Answer: GCF of 15417 and 15423 is 3.
2. What are the Factors of 15417?
Answer: Factors of 15417 are 1, 3, 9, 27, 571, 1713, 5139, 15417. There are 8 integers that are factors of 15417. The greatest factor of 15417 is 15417.
3. What are the Factors of 15423?
Answer: Factors of 15423 are 1, 3, 53, 97, 159, 291, 5141, 15423. There are 8 integers that are factors of 15423. The greatest factor of 15423 is 15423.
4. How to Find the GCF of 15417 and 15423?
Answer:
Greatest Common Factor of 15417 and 15423 = 3
Step 1: Find the prime factorization of 15417
15417 = 3 x 3 x 3 x 571
Step 2: Find the prime factorization of 15423
15423 = 3 x 53 x 97
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 15417 and 15423 is 3