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 67024, 67030 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67024 and 67030 is 2.
GCF(67024,67030) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67024
2 | 67024 |
2 | 33512 |
2 | 16756 |
2 | 8378 |
59 | 4189 |
71 | 71 |
1 |
Prime factors of 67024 are 2,59,71. Prime factorization of 67024 in exponential form is:
67024 = 24×591×711
Prime Factorization of 67030
2 | 67030 |
5 | 33515 |
6703 | 6703 |
1 |
Prime factors of 67030 are 2,5,6703. Prime factorization of 67030 in exponential form is:
67030 = 21×51×67031
∴ So by taking common prime factors GCF of 67024 and 67030 is 2
Factors of 67024
List of positive integer factors of 67024 that divides 67024 without a remainder.
1,2,4,8,16,59,71,118,142,236,284,472,568,944,1136,4189,8378,16756,33512,67024
Factors of 67030
List of positive integer factors of 67030 that divides 67030 without a remainder.
1,2,5,10,6703,13406,33515,67030
Greatest Common Factor
We found the factors and prime factorization of 67024 and 67030. The biggest common factor number is the GCF number.
So the greatest common factor 67024 and 67030 is 2.
Also check out the Least Common Multiple of 67024 and 67030
(i) The GCF of 67024 and 67030 is associative
GCF of 67024 and 67030 = GCF of 67030 and 67024
1. What is the GCF of 67024 and 67030?
Answer: GCF of 67024 and 67030 is 2.
2. What are the Factors of 67024?
Answer: Factors of 67024 are 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024. There are 20 integers that are factors of 67024. The greatest factor of 67024 is 67024.
3. What are the Factors of 67030?
Answer: Factors of 67030 are 1, 2, 5, 10, 6703, 13406, 33515, 67030. There are 8 integers that are factors of 67030. The greatest factor of 67030 is 67030.
4. How to Find the GCF of 67024 and 67030?
Answer:
Greatest Common Factor of 67024 and 67030 = 2
Step 1: Find the prime factorization of 67024
67024 = 2 x 2 x 2 x 2 x 59 x 71
Step 2: Find the prime factorization of 67030
67030 = 2 x 5 x 6703
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 67024 and 67030 is 2