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, 15430 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15423 and 15430 is 1.
GCF(15423,15430) = 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 15430
2 | 15430 |
5 | 7715 |
1543 | 1543 |
1 |
Prime factors of 15430 are 2,5,1543. Prime factorization of 15430 in exponential form is:
15430 = 21×51×15431
∴ So by taking common prime factors GCF of 15423 and 15430 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 15430
List of positive integer factors of 15430 that divides 15430 without a remainder.
1,2,5,10,1543,3086,7715,15430
Greatest Common Factor
We found the factors and prime factorization of 15423 and 15430. The biggest common factor number is the GCF number.
So the greatest common factor 15423 and 15430 is 1.
Also check out the Least Common Multiple of 15423 and 15430
(i) The GCF of 15423 and 15430 is associative
GCF of 15423 and 15430 = GCF of 15430 and 15423
1. What is the GCF of 15423 and 15430?
Answer: GCF of 15423 and 15430 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 15430?
Answer: Factors of 15430 are 1, 2, 5, 10, 1543, 3086, 7715, 15430. There are 8 integers that are factors of 15430. The greatest factor of 15430 is 15430.
4. How to Find the GCF of 15423 and 15430?
Answer:
Greatest Common Factor of 15423 and 15430 = 1
Step 1: Find the prime factorization of 15423
15423 = 3 x 53 x 97
Step 2: Find the prime factorization of 15430
15430 = 2 x 5 x 1543
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 15430 is 1