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 5065, 5072 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5065 and 5072 is 1.
GCF(5065,5072) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5065
5 | 5065 |
1013 | 1013 |
1 |
Prime factors of 5065 are 5,1013. Prime factorization of 5065 in exponential form is:
5065 = 51×10131
Prime Factorization of 5072
2 | 5072 |
2 | 2536 |
2 | 1268 |
2 | 634 |
317 | 317 |
1 |
Prime factors of 5072 are 2,317. Prime factorization of 5072 in exponential form is:
5072 = 24×3171
∴ So by taking common prime factors GCF of 5065 and 5072 is 1
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1,5,1013,5065
Factors of 5072
List of positive integer factors of 5072 that divides 5072 without a remainder.
1,2,4,8,16,317,634,1268,2536,5072
Greatest Common Factor
We found the factors and prime factorization of 5065 and 5072. The biggest common factor number is the GCF number.
So the greatest common factor 5065 and 5072 is 1.
Also check out the Least Common Multiple of 5065 and 5072
(i) The GCF of 5065 and 5072 is associative
GCF of 5065 and 5072 = GCF of 5072 and 5065
1. What is the GCF of 5065 and 5072?
Answer: GCF of 5065 and 5072 is 1.
2. What are the Factors of 5065?
Answer: Factors of 5065 are 1, 5, 1013, 5065. There are 4 integers that are factors of 5065. The greatest factor of 5065 is 5065.
3. What are the Factors of 5072?
Answer: Factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. There are 10 integers that are factors of 5072. The greatest factor of 5072 is 5072.
4. How to Find the GCF of 5065 and 5072?
Answer:
Greatest Common Factor of 5065 and 5072 = 1
Step 1: Find the prime factorization of 5065
5065 = 5 x 1013
Step 2: Find the prime factorization of 5072
5072 = 2 x 2 x 2 x 2 x 317
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 5065 and 5072 is 1