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 13423, 13427 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 13423 and 13427 is 1.
GCF(13423,13427) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 13423
31 | 13423 |
433 | 433 |
1 |
Prime factors of 13423 are 31,433. Prime factorization of 13423 in exponential form is:
13423 = 311×4331
Prime Factorization of 13427
29 | 13427 |
463 | 463 |
1 |
Prime factors of 13427 are 29,463. Prime factorization of 13427 in exponential form is:
13427 = 291×4631
∴ So by taking common prime factors GCF of 13423 and 13427 is 1
Factors of 13423
List of positive integer factors of 13423 that divides 13423 without a remainder.
1,31,433,13423
Factors of 13427
List of positive integer factors of 13427 that divides 13427 without a remainder.
1,29,463,13427
Greatest Common Factor
We found the factors and prime factorization of 13423 and 13427. The biggest common factor number is the GCF number.
So the greatest common factor 13423 and 13427 is 1.
Also check out the Least Common Multiple of 13423 and 13427
(i) The GCF of 13423 and 13427 is associative
GCF of 13423 and 13427 = GCF of 13427 and 13423
1. What is the GCF of 13423 and 13427?
Answer: GCF of 13423 and 13427 is 1.
2. What are the Factors of 13423?
Answer: Factors of 13423 are 1, 31, 433, 13423. There are 4 integers that are factors of 13423. The greatest factor of 13423 is 13423.
3. What are the Factors of 13427?
Answer: Factors of 13427 are 1, 29, 463, 13427. There are 4 integers that are factors of 13427. The greatest factor of 13427 is 13427.
4. How to Find the GCF of 13423 and 13427?
Answer:
Greatest Common Factor of 13423 and 13427 = 1
Step 1: Find the prime factorization of 13423
13423 = 31 x 433
Step 2: Find the prime factorization of 13427
13427 = 29 x 463
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 13423 and 13427 is 1