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 15426, 15432 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15426 and 15432 is 6.
GCF(15426,15432) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15426
2 | 15426 |
3 | 7713 |
3 | 2571 |
857 | 857 |
1 |
Prime factors of 15426 are 2,3,857. Prime factorization of 15426 in exponential form is:
15426 = 21×32×8571
Prime Factorization of 15432
2 | 15432 |
2 | 7716 |
2 | 3858 |
3 | 1929 |
643 | 643 |
1 |
Prime factors of 15432 are 2,3,643. Prime factorization of 15432 in exponential form is:
15432 = 23×31×6431
∴ So by taking common prime factors GCF of 15426 and 15432 is 6
Factors of 15426
List of positive integer factors of 15426 that divides 15426 without a remainder.
1,2,3,6,9,18,857,1714,2571,5142,7713,15426
Factors of 15432
List of positive integer factors of 15432 that divides 15432 without a remainder.
1,2,3,4,6,8,12,24,643,1286,1929,2572,3858,5144,7716,15432
Greatest Common Factor
We found the factors and prime factorization of 15426 and 15432. The biggest common factor number is the GCF number.
So the greatest common factor 15426 and 15432 is 6.
Also check out the Least Common Multiple of 15426 and 15432
(i) The GCF of 15426 and 15432 is associative
GCF of 15426 and 15432 = GCF of 15432 and 15426
1. What is the GCF of 15426 and 15432?
Answer: GCF of 15426 and 15432 is 6.
2. What are the Factors of 15426?
Answer: Factors of 15426 are 1, 2, 3, 6, 9, 18, 857, 1714, 2571, 5142, 7713, 15426. There are 12 integers that are factors of 15426. The greatest factor of 15426 is 15426.
3. What are the Factors of 15432?
Answer: Factors of 15432 are 1, 2, 3, 4, 6, 8, 12, 24, 643, 1286, 1929, 2572, 3858, 5144, 7716, 15432. There are 16 integers that are factors of 15432. The greatest factor of 15432 is 15432.
4. How to Find the GCF of 15426 and 15432?
Answer:
Greatest Common Factor of 15426 and 15432 = 6
Step 1: Find the prime factorization of 15426
15426 = 2 x 3 x 3 x 857
Step 2: Find the prime factorization of 15432
15432 = 2 x 2 x 2 x 3 x 643
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 15426 and 15432 is 6