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 8432, 8440 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8432 and 8440 is 8.
GCF(8432,8440) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8432
2 | 8432 |
2 | 4216 |
2 | 2108 |
2 | 1054 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 8432 are 2,17,31. Prime factorization of 8432 in exponential form is:
8432 = 24×171×311
Prime Factorization of 8440
2 | 8440 |
2 | 4220 |
2 | 2110 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 8440 are 2,5,211. Prime factorization of 8440 in exponential form is:
8440 = 23×51×2111
∴ So by taking common prime factors GCF of 8432 and 8440 is 8
Factors of 8432
List of positive integer factors of 8432 that divides 8432 without a remainder.
1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Factors of 8440
List of positive integer factors of 8440 that divides 8440 without a remainder.
1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440
Greatest Common Factor
We found the factors and prime factorization of 8432 and 8440. The biggest common factor number is the GCF number.
So the greatest common factor 8432 and 8440 is 8.
Also check out the Least Common Multiple of 8432 and 8440
(i) The GCF of 8432 and 8440 is associative
GCF of 8432 and 8440 = GCF of 8440 and 8432
1. What is the GCF of 8432 and 8440?
Answer: GCF of 8432 and 8440 is 8.
2. What are the Factors of 8432?
Answer: Factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432. There are 20 integers that are factors of 8432. The greatest factor of 8432 is 8432.
3. What are the Factors of 8440?
Answer: Factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440. There are 16 integers that are factors of 8440. The greatest factor of 8440 is 8440.
4. How to Find the GCF of 8432 and 8440?
Answer:
Greatest Common Factor of 8432 and 8440 = 8
Step 1: Find the prime factorization of 8432
8432 = 2 x 2 x 2 x 2 x 17 x 31
Step 2: Find the prime factorization of 8440
8440 = 2 x 2 x 2 x 5 x 211
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 8432 and 8440 is 8