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 8455, 8462 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8455 and 8462 is 1.
GCF(8455,8462) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8455
5 | 8455 |
19 | 1691 |
89 | 89 |
1 |
Prime factors of 8455 are 5,19,89. Prime factorization of 8455 in exponential form is:
8455 = 51×191×891
Prime Factorization of 8462
2 | 8462 |
4231 | 4231 |
1 |
Prime factors of 8462 are 2,4231. Prime factorization of 8462 in exponential form is:
8462 = 21×42311
∴ So by taking common prime factors GCF of 8455 and 8462 is 1
Factors of 8455
List of positive integer factors of 8455 that divides 8455 without a remainder.
1,5,19,89,95,445,1691,8455
Factors of 8462
List of positive integer factors of 8462 that divides 8462 without a remainder.
1,2,4231,8462
Greatest Common Factor
We found the factors and prime factorization of 8455 and 8462. The biggest common factor number is the GCF number.
So the greatest common factor 8455 and 8462 is 1.
Also check out the Least Common Multiple of 8455 and 8462
(i) The GCF of 8455 and 8462 is associative
GCF of 8455 and 8462 = GCF of 8462 and 8455
1. What is the GCF of 8455 and 8462?
Answer: GCF of 8455 and 8462 is 1.
2. What are the Factors of 8455?
Answer: Factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455. There are 8 integers that are factors of 8455. The greatest factor of 8455 is 8455.
3. What are the Factors of 8462?
Answer: Factors of 8462 are 1, 2, 4231, 8462. There are 4 integers that are factors of 8462. The greatest factor of 8462 is 8462.
4. How to Find the GCF of 8455 and 8462?
Answer:
Greatest Common Factor of 8455 and 8462 = 1
Step 1: Find the prime factorization of 8455
8455 = 5 x 19 x 89
Step 2: Find the prime factorization of 8462
8462 = 2 x 4231
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 8455 and 8462 is 1