What is the Greatest Common Factor of 2016 and 2021?
Greatest common factor (GCF) of 2016 and 2021 is 1.
GCF(2016,2021) = 1
We will now calculate the prime factors of 2016 and 2021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2016 and 2021.
How to find the GCF of 2016 and 2021?
We will first find the prime factorization of 2016 and 2021. After we will calculate the factors of 2016 and 2021 and find the biggest common factor number .
Step-1: Prime Factorization of 2016
Prime factors of 2016 are 2, 3, 7. Prime factorization of 2016 in exponential form is:
2016 = 25 × 32 × 71
Step-2: Prime Factorization of 2021
Prime factors of 2021 are 43, 47. Prime factorization of 2021 in exponential form is:
2021 = 431 × 471
Step-3: Factors of 2016
List of positive integer factors of 2016 that divides 2016 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008
Step-4: Factors of 2021
List of positive integer factors of 2021 that divides 2016 without a remainder.
1, 43, 47
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2016 and 2021. The biggest common factor number is the GCF number.
So the greatest common factor 2016 and 2021 is 1.
Also check out the Least Common Multiple of 2016 and 2021
Related Greatest Common Factors of 2016
- GCF of 2016 and 2020
- GCF of 2016 and 2021
- GCF of 2016 and 2022
- GCF of 2016 and 2023
- GCF of 2016 and 2024
- GCF of 2016 and 2025
- GCF of 2016 and 2026
- GCF of 2016 and 2027
- GCF of 2016 and 2028
- GCF of 2016 and 2029
- GCF of 2016 and 2030
- GCF of 2016 and 2031
- GCF of 2016 and 2032
- GCF of 2016 and 2033
- GCF of 2016 and 2034
- GCF of 2016 and 2035
- GCF of 2016 and 2036
Related Greatest Common Factors of 2021
- GCF of 2021 and 2025
- GCF of 2021 and 2026
- GCF of 2021 and 2027
- GCF of 2021 and 2028
- GCF of 2021 and 2029
- GCF of 2021 and 2030
- GCF of 2021 and 2031
- GCF of 2021 and 2032
- GCF of 2021 and 2033
- GCF of 2021 and 2034
- GCF of 2021 and 2035
- GCF of 2021 and 2036
- GCF of 2021 and 2037
- GCF of 2021 and 2038
- GCF of 2021 and 2039
- GCF of 2021 and 2040
- GCF of 2021 and 2041