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 8471, 8476 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8471 and 8476 is 1.
GCF(8471,8476) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8471
43 | 8471 |
197 | 197 |
1 |
Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:
8471 = 431×1971
Prime Factorization of 8476
2 | 8476 |
2 | 4238 |
13 | 2119 |
163 | 163 |
1 |
Prime factors of 8476 are 2,13,163. Prime factorization of 8476 in exponential form is:
8476 = 22×131×1631
∴ So by taking common prime factors GCF of 8471 and 8476 is 1
Factors of 8471
List of positive integer factors of 8471 that divides 8471 without a remainder.
1,43,197,8471
Factors of 8476
List of positive integer factors of 8476 that divides 8476 without a remainder.
1,2,4,13,26,52,163,326,652,2119,4238,8476
Greatest Common Factor
We found the factors and prime factorization of 8471 and 8476. The biggest common factor number is the GCF number.
So the greatest common factor 8471 and 8476 is 1.
Also check out the Least Common Multiple of 8471 and 8476
(i) The GCF of 8471 and 8476 is associative
GCF of 8471 and 8476 = GCF of 8476 and 8471
1. What is the GCF of 8471 and 8476?
Answer: GCF of 8471 and 8476 is 1.
2. What are the Factors of 8471?
Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.
3. What are the Factors of 8476?
Answer: Factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476. There are 12 integers that are factors of 8476. The greatest factor of 8476 is 8476.
4. How to Find the GCF of 8471 and 8476?
Answer:
Greatest Common Factor of 8471 and 8476 = 1
Step 1: Find the prime factorization of 8471
8471 = 43 x 197
Step 2: Find the prime factorization of 8476
8476 = 2 x 2 x 13 x 163
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 8471 and 8476 is 1