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 8030, 8034 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8030 and 8034 is 2.
GCF(8030,8034) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8030
2 | 8030 |
5 | 4015 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 8030 are 2,5,11,73. Prime factorization of 8030 in exponential form is:
8030 = 21×51×111×731
Prime Factorization of 8034
2 | 8034 |
3 | 4017 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 8034 are 2,3,13,103. Prime factorization of 8034 in exponential form is:
8034 = 21×31×131×1031
∴ So by taking common prime factors GCF of 8030 and 8034 is 2
Factors of 8030
List of positive integer factors of 8030 that divides 8030 without a remainder.
1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Greatest Common Factor
We found the factors and prime factorization of 8030 and 8034. The biggest common factor number is the GCF number.
So the greatest common factor 8030 and 8034 is 2.
Also check out the Least Common Multiple of 8030 and 8034
(i) The GCF of 8030 and 8034 is associative
GCF of 8030 and 8034 = GCF of 8034 and 8030
1. What is the GCF of 8030 and 8034?
Answer: GCF of 8030 and 8034 is 2.
2. What are the Factors of 8030?
Answer: Factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030. There are 16 integers that are factors of 8030. The greatest factor of 8030 is 8030.
3. What are the Factors of 8034?
Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.
4. How to Find the GCF of 8030 and 8034?
Answer:
Greatest Common Factor of 8030 and 8034 = 2
Step 1: Find the prime factorization of 8030
8030 = 2 x 5 x 11 x 73
Step 2: Find the prime factorization of 8034
8034 = 2 x 3 x 13 x 103
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 8030 and 8034 is 2