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 6050, 6058 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6050 and 6058 is 2.
GCF(6050,6058) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6050
2 | 6050 |
5 | 3025 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 6050 are 2,5,11. Prime factorization of 6050 in exponential form is:
6050 = 21×52×112
Prime Factorization of 6058
2 | 6058 |
13 | 3029 |
233 | 233 |
1 |
Prime factors of 6058 are 2,13,233. Prime factorization of 6058 in exponential form is:
6058 = 21×131×2331
∴ So by taking common prime factors GCF of 6050 and 6058 is 2
Factors of 6050
List of positive integer factors of 6050 that divides 6050 without a remainder.
1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050
Factors of 6058
List of positive integer factors of 6058 that divides 6058 without a remainder.
1,2,13,26,233,466,3029,6058
Greatest Common Factor
We found the factors and prime factorization of 6050 and 6058. The biggest common factor number is the GCF number.
So the greatest common factor 6050 and 6058 is 2.
Also check out the Least Common Multiple of 6050 and 6058
(i) The GCF of 6050 and 6058 is associative
GCF of 6050 and 6058 = GCF of 6058 and 6050
1. What is the GCF of 6050 and 6058?
Answer: GCF of 6050 and 6058 is 2.
2. What are the Factors of 6050?
Answer: Factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050. There are 18 integers that are factors of 6050. The greatest factor of 6050 is 6050.
3. What are the Factors of 6058?
Answer: Factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058. There are 8 integers that are factors of 6058. The greatest factor of 6058 is 6058.
4. How to Find the GCF of 6050 and 6058?
Answer:
Greatest Common Factor of 6050 and 6058 = 2
Step 1: Find the prime factorization of 6050
6050 = 2 x 5 x 5 x 11 x 11
Step 2: Find the prime factorization of 6058
6058 = 2 x 13 x 233
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6050 and 6058 is 2