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 8048, 8055 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8048 and 8055 is 1.
GCF(8048,8055) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8048
2 | 8048 |
2 | 4024 |
2 | 2012 |
2 | 1006 |
503 | 503 |
1 |
Prime factors of 8048 are 2,503. Prime factorization of 8048 in exponential form is:
8048 = 24×5031
Prime Factorization of 8055
3 | 8055 |
3 | 2685 |
5 | 895 |
179 | 179 |
1 |
Prime factors of 8055 are 3,5,179. Prime factorization of 8055 in exponential form is:
8055 = 32×51×1791
∴ So by taking common prime factors GCF of 8048 and 8055 is 1
Factors of 8048
List of positive integer factors of 8048 that divides 8048 without a remainder.
1,2,4,8,16,503,1006,2012,4024,8048
Factors of 8055
List of positive integer factors of 8055 that divides 8055 without a remainder.
1,3,5,9,15,45,179,537,895,1611,2685,8055
Greatest Common Factor
We found the factors and prime factorization of 8048 and 8055. The biggest common factor number is the GCF number.
So the greatest common factor 8048 and 8055 is 1.
Also check out the Least Common Multiple of 8048 and 8055
(i) The GCF of 8048 and 8055 is associative
GCF of 8048 and 8055 = GCF of 8055 and 8048
1. What is the GCF of 8048 and 8055?
Answer: GCF of 8048 and 8055 is 1.
2. What are the Factors of 8048?
Answer: Factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048. There are 10 integers that are factors of 8048. The greatest factor of 8048 is 8048.
3. What are the Factors of 8055?
Answer: Factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055. There are 12 integers that are factors of 8055. The greatest factor of 8055 is 8055.
4. How to Find the GCF of 8048 and 8055?
Answer:
Greatest Common Factor of 8048 and 8055 = 1
Step 1: Find the prime factorization of 8048
8048 = 2 x 2 x 2 x 2 x 503
Step 2: Find the prime factorization of 8055
8055 = 3 x 3 x 5 x 179
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 8048 and 8055 is 1