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, 8434 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8432 and 8434 is 2.
GCF(8432,8434) = 2
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 8434
2 | 8434 |
4217 | 4217 |
1 |
Prime factors of 8434 are 2,4217. Prime factorization of 8434 in exponential form is:
8434 = 21×42171
∴ So by taking common prime factors GCF of 8432 and 8434 is 2
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 8434
List of positive integer factors of 8434 that divides 8434 without a remainder.
1,2,4217,8434
Greatest Common Factor
We found the factors and prime factorization of 8432 and 8434. The biggest common factor number is the GCF number.
So the greatest common factor 8432 and 8434 is 2.
Also check out the Least Common Multiple of 8432 and 8434
(i) The GCF of 8432 and 8434 is associative
GCF of 8432 and 8434 = GCF of 8434 and 8432
1. What is the GCF of 8432 and 8434?
Answer: GCF of 8432 and 8434 is 2.
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 8434?
Answer: Factors of 8434 are 1, 2, 4217, 8434. There are 4 integers that are factors of 8434. The greatest factor of 8434 is 8434.
4. How to Find the GCF of 8432 and 8434?
Answer:
Greatest Common Factor of 8432 and 8434 = 2
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 8434
8434 = 2 x 4217
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8432 and 8434 is 2