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 5027, 5035 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5027 and 5035 is 1.
GCF(5027,5035) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5027
11 | 5027 |
457 | 457 |
1 |
Prime factors of 5027 are 11,457. Prime factorization of 5027 in exponential form is:
5027 = 111×4571
Prime Factorization of 5035
5 | 5035 |
19 | 1007 |
53 | 53 |
1 |
Prime factors of 5035 are 5,19,53. Prime factorization of 5035 in exponential form is:
5035 = 51×191×531
∴ So by taking common prime factors GCF of 5027 and 5035 is 1
Factors of 5027
List of positive integer factors of 5027 that divides 5027 without a remainder.
1,11,457,5027
Factors of 5035
List of positive integer factors of 5035 that divides 5035 without a remainder.
1,5,19,53,95,265,1007,5035
Greatest Common Factor
We found the factors and prime factorization of 5027 and 5035. The biggest common factor number is the GCF number.
So the greatest common factor 5027 and 5035 is 1.
Also check out the Least Common Multiple of 5027 and 5035
(i) The GCF of 5027 and 5035 is associative
GCF of 5027 and 5035 = GCF of 5035 and 5027
1. What is the GCF of 5027 and 5035?
Answer: GCF of 5027 and 5035 is 1.
2. What are the Factors of 5027?
Answer: Factors of 5027 are 1, 11, 457, 5027. There are 4 integers that are factors of 5027. The greatest factor of 5027 is 5027.
3. What are the Factors of 5035?
Answer: Factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035. There are 8 integers that are factors of 5035. The greatest factor of 5035 is 5035.
4. How to Find the GCF of 5027 and 5035?
Answer:
Greatest Common Factor of 5027 and 5035 = 1
Step 1: Find the prime factorization of 5027
5027 = 11 x 457
Step 2: Find the prime factorization of 5035
5035 = 5 x 19 x 53
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 5027 and 5035 is 1