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 5030, 5032 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5030 and 5032 is 2.
GCF(5030,5032) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5030
2 | 5030 |
5 | 2515 |
503 | 503 |
1 |
Prime factors of 5030 are 2,5,503. Prime factorization of 5030 in exponential form is:
5030 = 21×51×5031
Prime Factorization of 5032
2 | 5032 |
2 | 2516 |
2 | 1258 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 5032 are 2,17,37. Prime factorization of 5032 in exponential form is:
5032 = 23×171×371
∴ So by taking common prime factors GCF of 5030 and 5032 is 2
Factors of 5030
List of positive integer factors of 5030 that divides 5030 without a remainder.
1,2,5,10,503,1006,2515,5030
Factors of 5032
List of positive integer factors of 5032 that divides 5032 without a remainder.
1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032
Greatest Common Factor
We found the factors and prime factorization of 5030 and 5032. The biggest common factor number is the GCF number.
So the greatest common factor 5030 and 5032 is 2.
Also check out the Least Common Multiple of 5030 and 5032
(i) The GCF of 5030 and 5032 is associative
GCF of 5030 and 5032 = GCF of 5032 and 5030
1. What is the GCF of 5030 and 5032?
Answer: GCF of 5030 and 5032 is 2.
2. What are the Factors of 5030?
Answer: Factors of 5030 are 1, 2, 5, 10, 503, 1006, 2515, 5030. There are 8 integers that are factors of 5030. The greatest factor of 5030 is 5030.
3. What are the Factors of 5032?
Answer: Factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032. There are 16 integers that are factors of 5032. The greatest factor of 5032 is 5032.
4. How to Find the GCF of 5030 and 5032?
Answer:
Greatest Common Factor of 5030 and 5032 = 2
Step 1: Find the prime factorization of 5030
5030 = 2 x 5 x 503
Step 2: Find the prime factorization of 5032
5032 = 2 x 2 x 2 x 17 x 37
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 5030 and 5032 is 2