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, 6431 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6424 and 6431 is 1.
GCF(6424,6431) = 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 6431
59 | 6431 |
109 | 109 |
1 |
Prime factors of 6431 are 59,109. Prime factorization of 6431 in exponential form is:
6431 = 591×1091
∴ So by taking common prime factors GCF of 6424 and 6431 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 6431
List of positive integer factors of 6431 that divides 6431 without a remainder.
1,59,109,6431
Greatest Common Factor
We found the factors and prime factorization of 6424 and 6431. The biggest common factor number is the GCF number.
So the greatest common factor 6424 and 6431 is 1.
Also check out the Least Common Multiple of 6424 and 6431
(i) The GCF of 6424 and 6431 is associative
GCF of 6424 and 6431 = GCF of 6431 and 6424
1. What is the GCF of 6424 and 6431?
Answer: GCF of 6424 and 6431 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 6431?
Answer: Factors of 6431 are 1, 59, 109, 6431. There are 4 integers that are factors of 6431. The greatest factor of 6431 is 6431.
4. How to Find the GCF of 6424 and 6431?
Answer:
Greatest Common Factor of 6424 and 6431 = 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 6431
6431 = 59 x 109
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 6431 is 1