What is the Greatest Common Factor of 42014 and 42021?
Greatest common factor (GCF) of 42014 and 42021 is 7.
GCF(42014,42021) = 7
We will now calculate the prime factors of 42014 and 42021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42014 and 42021.
How to find the GCF of 42014 and 42021?
We will first find the prime factorization of 42014 and 42021. After we will calculate the factors of 42014 and 42021 and find the biggest common factor number .
Step-1: Prime Factorization of 42014
Prime factors of 42014 are 2, 7, 3001. Prime factorization of 42014 in exponential form is:
42014 = 21 × 71 × 30011
Step-2: Prime Factorization of 42021
Prime factors of 42021 are 3, 7, 23, 29. Prime factorization of 42021 in exponential form is:
42021 = 32 × 71 × 231 × 291
Step-3: Factors of 42014
List of positive integer factors of 42014 that divides 42014 without a remainder.
1, 2, 7, 14, 3001, 6002, 21007
Step-4: Factors of 42021
List of positive integer factors of 42021 that divides 42014 without a remainder.
1, 3, 7, 9, 21, 23, 29, 63, 69, 87, 161, 203, 207, 261, 483, 609, 667, 1449, 1827, 2001, 4669, 6003, 14007
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42014 and 42021. The biggest common factor number is the GCF number.
So the greatest common factor 42014 and 42021 is 7.
Also check out the Least Common Multiple of 42014 and 42021
Related Greatest Common Factors of 42014
- GCF of 42014 and 42018
- GCF of 42014 and 42019
- GCF of 42014 and 42020
- GCF of 42014 and 42021
- GCF of 42014 and 42022
- GCF of 42014 and 42023
- GCF of 42014 and 42024
- GCF of 42014 and 42025
- GCF of 42014 and 42026
- GCF of 42014 and 42027
- GCF of 42014 and 42028
- GCF of 42014 and 42029
- GCF of 42014 and 42030
- GCF of 42014 and 42031
- GCF of 42014 and 42032
- GCF of 42014 and 42033
- GCF of 42014 and 42034
Related Greatest Common Factors of 42021
- GCF of 42021 and 42025
- GCF of 42021 and 42026
- GCF of 42021 and 42027
- GCF of 42021 and 42028
- GCF of 42021 and 42029
- GCF of 42021 and 42030
- GCF of 42021 and 42031
- GCF of 42021 and 42032
- GCF of 42021 and 42033
- GCF of 42021 and 42034
- GCF of 42021 and 42035
- GCF of 42021 and 42036
- GCF of 42021 and 42037
- GCF of 42021 and 42038
- GCF of 42021 and 42039
- GCF of 42021 and 42040
- GCF of 42021 and 42041