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 5013, 5021 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5013 and 5021 is 1.
GCF(5013,5021) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5013
3 | 5013 |
3 | 1671 |
557 | 557 |
1 |
Prime factors of 5013 are 3,557. Prime factorization of 5013 in exponential form is:
5013 = 32×5571
Prime Factorization of 5021
5021 | 5021 |
1 |
Prime factors of 5021 are 5021. Prime factorization of 5021 in exponential form is:
5021 = 50211
∴ So by taking common prime factors GCF of 5013 and 5021 is 1
Factors of 5013
List of positive integer factors of 5013 that divides 5013 without a remainder.
1,3,9,557,1671,5013
Factors of 5021
List of positive integer factors of 5021 that divides 5021 without a remainder.
1,5021
Greatest Common Factor
We found the factors and prime factorization of 5013 and 5021. The biggest common factor number is the GCF number.
So the greatest common factor 5013 and 5021 is 1.
Also check out the Least Common Multiple of 5013 and 5021
(i) The GCF of 5013 and 5021 is associative
GCF of 5013 and 5021 = GCF of 5021 and 5013
1. What is the GCF of 5013 and 5021?
Answer: GCF of 5013 and 5021 is 1.
2. What are the Factors of 5013?
Answer: Factors of 5013 are 1, 3, 9, 557, 1671, 5013. There are 6 integers that are factors of 5013. The greatest factor of 5013 is 5013.
3. What are the Factors of 5021?
Answer: Factors of 5021 are 1, 5021. There are 2 integers that are factors of 5021. The greatest factor of 5021 is 5021.
4. How to Find the GCF of 5013 and 5021?
Answer:
Greatest Common Factor of 5013 and 5021 = 1
Step 1: Find the prime factorization of 5013
5013 = 3 x 3 x 557
Step 2: Find the prime factorization of 5021
5021 = 5021
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 5013 and 5021 is 1