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 15423, 15431 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15423 and 15431 is 1.
GCF(15423,15431) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 15431
13 | 15431 |
1187 | 1187 |
1 |
Prime factors of 15431 are 13,1187. Prime factorization of 15431 in exponential form is:
15431 = 131×11871
∴ So by taking common prime factors GCF of 15423 and 15431 is 1
Factors of 15423
List of positive integer factors of 15423 that divides 15423 without a remainder.
1,3,53,97,159,291,5141,15423
Factors of 15431
List of positive integer factors of 15431 that divides 15431 without a remainder.
1,13,1187,15431
Greatest Common Factor
We found the factors and prime factorization of 15423 and 15431. The biggest common factor number is the GCF number.
So the greatest common factor 15423 and 15431 is 1.
Also check out the Least Common Multiple of 15423 and 15431
(i) The GCF of 15423 and 15431 is associative
GCF of 15423 and 15431 = GCF of 15431 and 15423
1. What is the GCF of 15423 and 15431?
Answer: GCF of 15423 and 15431 is 1.
2. 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.
3. What are the Factors of 15431?
Answer: Factors of 15431 are 1, 13, 1187, 15431. There are 4 integers that are factors of 15431. The greatest factor of 15431 is 15431.
4. How to Find the GCF of 15423 and 15431?
Answer:
Greatest Common Factor of 15423 and 15431 = 1
Step 1: Find the prime factorization of 15423
15423 = 3 x 53 x 97
Step 2: Find the prime factorization of 15431
15431 = 13 x 1187
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 15423 and 15431 is 1