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 8427, 8432 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8427 and 8432 is 1.
GCF(8427,8432) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8427
3 | 8427 |
53 | 2809 |
53 | 53 |
1 |
Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:
8427 = 31×532
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
∴ So by taking common prime factors GCF of 8427 and 8432 is 1
Factors of 8427
List of positive integer factors of 8427 that divides 8427 without a remainder.
1,3,53,159,2809,8427
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
Greatest Common Factor
We found the factors and prime factorization of 8427 and 8432. The biggest common factor number is the GCF number.
So the greatest common factor 8427 and 8432 is 1.
Also check out the Least Common Multiple of 8427 and 8432
(i) The GCF of 8427 and 8432 is associative
GCF of 8427 and 8432 = GCF of 8432 and 8427
1. What is the GCF of 8427 and 8432?
Answer: GCF of 8427 and 8432 is 1.
2. What are the Factors of 8427?
Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.
3. 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.
4. How to Find the GCF of 8427 and 8432?
Answer:
Greatest Common Factor of 8427 and 8432 = 1
Step 1: Find the prime factorization of 8427
8427 = 3 x 53 x 53
Step 2: Find the prime factorization of 8432
8432 = 2 x 2 x 2 x 2 x 17 x 31
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 8427 and 8432 is 1