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 12424, 12431 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12424 and 12431 is 1.
GCF(12424,12431) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12424
2 | 12424 |
2 | 6212 |
2 | 3106 |
1553 | 1553 |
1 |
Prime factors of 12424 are 2,1553. Prime factorization of 12424 in exponential form is:
12424 = 23×15531
Prime Factorization of 12431
31 | 12431 |
401 | 401 |
1 |
Prime factors of 12431 are 31,401. Prime factorization of 12431 in exponential form is:
12431 = 311×4011
∴ So by taking common prime factors GCF of 12424 and 12431 is 1
Factors of 12424
List of positive integer factors of 12424 that divides 12424 without a remainder.
1,2,4,8,1553,3106,6212,12424
Factors of 12431
List of positive integer factors of 12431 that divides 12431 without a remainder.
1,31,401,12431
Greatest Common Factor
We found the factors and prime factorization of 12424 and 12431. The biggest common factor number is the GCF number.
So the greatest common factor 12424 and 12431 is 1.
Also check out the Least Common Multiple of 12424 and 12431
(i) The GCF of 12424 and 12431 is associative
GCF of 12424 and 12431 = GCF of 12431 and 12424
1. What is the GCF of 12424 and 12431?
Answer: GCF of 12424 and 12431 is 1.
2. What are the Factors of 12424?
Answer: Factors of 12424 are 1, 2, 4, 8, 1553, 3106, 6212, 12424. There are 8 integers that are factors of 12424. The greatest factor of 12424 is 12424.
3. What are the Factors of 12431?
Answer: Factors of 12431 are 1, 31, 401, 12431. There are 4 integers that are factors of 12431. The greatest factor of 12431 is 12431.
4. How to Find the GCF of 12424 and 12431?
Answer:
Greatest Common Factor of 12424 and 12431 = 1
Step 1: Find the prime factorization of 12424
12424 = 2 x 2 x 2 x 1553
Step 2: Find the prime factorization of 12431
12431 = 31 x 401
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 12424 and 12431 is 1