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 8424, 8427 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8424 and 8427 is 3.
GCF(8424,8427) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8424
2 | 8424 |
2 | 4212 |
2 | 2106 |
3 | 1053 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 8424 are 2,3,13. Prime factorization of 8424 in exponential form is:
8424 = 23×34×131
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
∴ So by taking common prime factors GCF of 8424 and 8427 is 3
Factors of 8424
List of positive integer factors of 8424 that divides 8424 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424
Factors of 8427
List of positive integer factors of 8427 that divides 8427 without a remainder.
1,3,53,159,2809,8427
Greatest Common Factor
We found the factors and prime factorization of 8424 and 8427. The biggest common factor number is the GCF number.
So the greatest common factor 8424 and 8427 is 3.
Also check out the Least Common Multiple of 8424 and 8427
(i) The GCF of 8424 and 8427 is associative
GCF of 8424 and 8427 = GCF of 8427 and 8424
1. What is the GCF of 8424 and 8427?
Answer: GCF of 8424 and 8427 is 3.
2. What are the Factors of 8424?
Answer: Factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424. There are 40 integers that are factors of 8424. The greatest factor of 8424 is 8424.
3. 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.
4. How to Find the GCF of 8424 and 8427?
Answer:
Greatest Common Factor of 8424 and 8427 = 3
Step 1: Find the prime factorization of 8424
8424 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 8427
8427 = 3 x 53 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8424 and 8427 is 3