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 8474, 8479 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8474 and 8479 is 1.
GCF(8474,8479) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8474
2 | 8474 |
19 | 4237 |
223 | 223 |
1 |
Prime factors of 8474 are 2,19,223. Prime factorization of 8474 in exponential form is:
8474 = 21×191×2231
Prime Factorization of 8479
61 | 8479 |
139 | 139 |
1 |
Prime factors of 8479 are 61,139. Prime factorization of 8479 in exponential form is:
8479 = 611×1391
∴ So by taking common prime factors GCF of 8474 and 8479 is 1
Factors of 8474
List of positive integer factors of 8474 that divides 8474 without a remainder.
1,2,19,38,223,446,4237,8474
Factors of 8479
List of positive integer factors of 8479 that divides 8479 without a remainder.
1,61,139,8479
Greatest Common Factor
We found the factors and prime factorization of 8474 and 8479. The biggest common factor number is the GCF number.
So the greatest common factor 8474 and 8479 is 1.
Also check out the Least Common Multiple of 8474 and 8479
(i) The GCF of 8474 and 8479 is associative
GCF of 8474 and 8479 = GCF of 8479 and 8474
1. What is the GCF of 8474 and 8479?
Answer: GCF of 8474 and 8479 is 1.
2. What are the Factors of 8474?
Answer: Factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474. There are 8 integers that are factors of 8474. The greatest factor of 8474 is 8474.
3. What are the Factors of 8479?
Answer: Factors of 8479 are 1, 61, 139, 8479. There are 4 integers that are factors of 8479. The greatest factor of 8479 is 8479.
4. How to Find the GCF of 8474 and 8479?
Answer:
Greatest Common Factor of 8474 and 8479 = 1
Step 1: Find the prime factorization of 8474
8474 = 2 x 19 x 223
Step 2: Find the prime factorization of 8479
8479 = 61 x 139
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 8474 and 8479 is 1