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 8408, 8411 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8408 and 8411 is 1.
GCF(8408,8411) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8408
2 | 8408 |
2 | 4204 |
2 | 2102 |
1051 | 1051 |
1 |
Prime factors of 8408 are 2,1051. Prime factorization of 8408 in exponential form is:
8408 = 23×10511
Prime Factorization of 8411
13 | 8411 |
647 | 647 |
1 |
Prime factors of 8411 are 13,647. Prime factorization of 8411 in exponential form is:
8411 = 131×6471
∴ So by taking common prime factors GCF of 8408 and 8411 is 1
Factors of 8408
List of positive integer factors of 8408 that divides 8408 without a remainder.
1,2,4,8,1051,2102,4204,8408
Factors of 8411
List of positive integer factors of 8411 that divides 8411 without a remainder.
1,13,647,8411
Greatest Common Factor
We found the factors and prime factorization of 8408 and 8411. The biggest common factor number is the GCF number.
So the greatest common factor 8408 and 8411 is 1.
Also check out the Least Common Multiple of 8408 and 8411
(i) The GCF of 8408 and 8411 is associative
GCF of 8408 and 8411 = GCF of 8411 and 8408
1. What is the GCF of 8408 and 8411?
Answer: GCF of 8408 and 8411 is 1.
2. What are the Factors of 8408?
Answer: Factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408. There are 8 integers that are factors of 8408. The greatest factor of 8408 is 8408.
3. What are the Factors of 8411?
Answer: Factors of 8411 are 1, 13, 647, 8411. There are 4 integers that are factors of 8411. The greatest factor of 8411 is 8411.
4. How to Find the GCF of 8408 and 8411?
Answer:
Greatest Common Factor of 8408 and 8411 = 1
Step 1: Find the prime factorization of 8408
8408 = 2 x 2 x 2 x 1051
Step 2: Find the prime factorization of 8411
8411 = 13 x 647
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 8408 and 8411 is 1