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 8473, 8480 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8473 and 8480 is 1.
GCF(8473,8480) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8473
37 | 8473 |
229 | 229 |
1 |
Prime factors of 8473 are 37,229. Prime factorization of 8473 in exponential form is:
8473 = 371×2291
Prime Factorization of 8480
2 | 8480 |
2 | 4240 |
2 | 2120 |
2 | 1060 |
2 | 530 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 8480 are 2,5,53. Prime factorization of 8480 in exponential form is:
8480 = 25×51×531
∴ So by taking common prime factors GCF of 8473 and 8480 is 1
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1,37,229,8473
Factors of 8480
List of positive integer factors of 8480 that divides 8480 without a remainder.
1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Greatest Common Factor
We found the factors and prime factorization of 8473 and 8480. The biggest common factor number is the GCF number.
So the greatest common factor 8473 and 8480 is 1.
Also check out the Least Common Multiple of 8473 and 8480
(i) The GCF of 8473 and 8480 is associative
GCF of 8473 and 8480 = GCF of 8480 and 8473
1. What is the GCF of 8473 and 8480?
Answer: GCF of 8473 and 8480 is 1.
2. What are the Factors of 8473?
Answer: Factors of 8473 are 1, 37, 229, 8473. There are 4 integers that are factors of 8473. The greatest factor of 8473 is 8473.
3. What are the Factors of 8480?
Answer: Factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480. There are 24 integers that are factors of 8480. The greatest factor of 8480 is 8480.
4. How to Find the GCF of 8473 and 8480?
Answer:
Greatest Common Factor of 8473 and 8480 = 1
Step 1: Find the prime factorization of 8473
8473 = 37 x 229
Step 2: Find the prime factorization of 8480
8480 = 2 x 2 x 2 x 2 x 2 x 5 x 53
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 8473 and 8480 is 1