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 5021, 5029 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5021 and 5029 is 1.
GCF(5021,5029) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5021
5021 | 5021 |
1 |
Prime factors of 5021 are 5021. Prime factorization of 5021 in exponential form is:
5021 = 50211
Prime Factorization of 5029
47 | 5029 |
107 | 107 |
1 |
Prime factors of 5029 are 47.Prime factorization of 5029 in exponential form is:
5029 = 471×1071
∴ So by taking common prime factors GCF of 5021 and 5029 is 1
Factors of 5021
List of positive integer factors of 5021 that divides 5021 without a remainder.
1,5021
Factors of 5029
List of positive integer factors of 5029 that divides 5029 without a remainder.
1,47,107,5029
Greatest Common Factor
We found the factors and prime factorization of 5021 and 5029. The biggest common factor number is the GCF number.
So the greatest common factor 5021 and 5029 is 1.
Also check out the Least Common Multiple of 5021 and 5029
(i) The GCF of 5021 and 5029 is associative
GCF of 5021 and 5029 = GCF of 5029 and 5021
1. What is the GCF of 5021 and 5029?
Answer: GCF of 5021 and 5029 is 1.
2. 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.
3. What are the Factors of 5029?
Answer: Factors of 5029 are 1, 47, 107, 5029. There are 4 integers that are factors of 5029. The greatest factor of 5029 is 5029.
4. How to Find the GCF of 5021 and 5029?
Answer:
Greatest Common Factor of 5021 and 5029 = 1
Step 1: Find the prime factorization of 5021
5021 = 5021
Step 2: Find the prime factorization of 5029
5029 = 47 x 107
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 5021 and 5029 is 1