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 6424, 6429 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6424 and 6429 is 1.
GCF(6424,6429) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6424
2 | 6424 |
2 | 3212 |
2 | 1606 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 6424 are 2,11,73. Prime factorization of 6424 in exponential form is:
6424 = 23×111×731
Prime Factorization of 6429
3 | 6429 |
2143 | 2143 |
1 |
Prime factors of 6429 are 3,2143. Prime factorization of 6429 in exponential form is:
6429 = 31×21431
∴ So by taking common prime factors GCF of 6424 and 6429 is 1
Factors of 6424
List of positive integer factors of 6424 that divides 6424 without a remainder.
1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Factors of 6429
List of positive integer factors of 6429 that divides 6429 without a remainder.
1,3,2143,6429
Greatest Common Factor
We found the factors and prime factorization of 6424 and 6429. The biggest common factor number is the GCF number.
So the greatest common factor 6424 and 6429 is 1.
Also check out the Least Common Multiple of 6424 and 6429
(i) The GCF of 6424 and 6429 is associative
GCF of 6424 and 6429 = GCF of 6429 and 6424
1. What is the GCF of 6424 and 6429?
Answer: GCF of 6424 and 6429 is 1.
2. What are the Factors of 6424?
Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.
3. What are the Factors of 6429?
Answer: Factors of 6429 are 1, 3, 2143, 6429. There are 4 integers that are factors of 6429. The greatest factor of 6429 is 6429.
4. How to Find the GCF of 6424 and 6429?
Answer:
Greatest Common Factor of 6424 and 6429 = 1
Step 1: Find the prime factorization of 6424
6424 = 2 x 2 x 2 x 11 x 73
Step 2: Find the prime factorization of 6429
6429 = 3 x 2143
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 6424 and 6429 is 1