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 8014, 8021 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8014 and 8021 is 1.
GCF(8014,8021) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8014
2 | 8014 |
4007 | 4007 |
1 |
Prime factors of 8014 are 2,4007. Prime factorization of 8014 in exponential form is:
8014 = 21×40071
Prime Factorization of 8021
13 | 8021 |
617 | 617 |
1 |
Prime factors of 8021 are 13,617. Prime factorization of 8021 in exponential form is:
8021 = 131×6171
∴ So by taking common prime factors GCF of 8014 and 8021 is 1
Factors of 8014
List of positive integer factors of 8014 that divides 8014 without a remainder.
1,2,4007,8014
Factors of 8021
List of positive integer factors of 8021 that divides 8021 without a remainder.
1,13,617,8021
Greatest Common Factor
We found the factors and prime factorization of 8014 and 8021. The biggest common factor number is the GCF number.
So the greatest common factor 8014 and 8021 is 1.
Also check out the Least Common Multiple of 8014 and 8021
(i) The GCF of 8014 and 8021 is associative
GCF of 8014 and 8021 = GCF of 8021 and 8014
1. What is the GCF of 8014 and 8021?
Answer: GCF of 8014 and 8021 is 1.
2. What are the Factors of 8014?
Answer: Factors of 8014 are 1, 2, 4007, 8014. There are 4 integers that are factors of 8014. The greatest factor of 8014 is 8014.
3. What are the Factors of 8021?
Answer: Factors of 8021 are 1, 13, 617, 8021. There are 4 integers that are factors of 8021. The greatest factor of 8021 is 8021.
4. How to Find the GCF of 8014 and 8021?
Answer:
Greatest Common Factor of 8014 and 8021 = 1
Step 1: Find the prime factorization of 8014
8014 = 2 x 4007
Step 2: Find the prime factorization of 8021
8021 = 13 x 617
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 8014 and 8021 is 1