What is the Greatest Common Factor of 16970 and 16982?
Greatest common factor (GCF) of 16970 and 16982 is 2.
GCF(16970,16982) = 2
We will now calculate the prime factors of 16970 and 16982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16970 and 16982.
How to find the GCF of 16970 and 16982?
We will first find the prime factorization of 16970 and 16982. After we will calculate the factors of 16970 and 16982 and find the biggest common factor number .
Step-1: Prime Factorization of 16970
Prime factors of 16970 are 2, 5, 1697. Prime factorization of 16970 in exponential form is:
16970 = 21 × 51 × 16971
Step-2: Prime Factorization of 16982
Prime factors of 16982 are 2, 7, 1213. Prime factorization of 16982 in exponential form is:
16982 = 21 × 71 × 12131
Step-3: Factors of 16970
List of positive integer factors of 16970 that divides 16970 without a remainder.
1, 2, 5, 10, 1697, 3394, 8485
Step-4: Factors of 16982
List of positive integer factors of 16982 that divides 16970 without a remainder.
1, 2, 7, 14, 1213, 2426, 8491
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16970 and 16982. The biggest common factor number is the GCF number.
So the greatest common factor 16970 and 16982 is 2.
Also check out the Least Common Multiple of 16970 and 16982
Related Greatest Common Factors of 16970
- GCF of 16970 and 16974
- GCF of 16970 and 16975
- GCF of 16970 and 16976
- GCF of 16970 and 16977
- GCF of 16970 and 16978
- GCF of 16970 and 16979
- GCF of 16970 and 16980
- GCF of 16970 and 16981
- GCF of 16970 and 16982
- GCF of 16970 and 16983
- GCF of 16970 and 16984
- GCF of 16970 and 16985
- GCF of 16970 and 16986
- GCF of 16970 and 16987
- GCF of 16970 and 16988
- GCF of 16970 and 16989
- GCF of 16970 and 16990
Related Greatest Common Factors of 16982
- GCF of 16982 and 16986
- GCF of 16982 and 16987
- GCF of 16982 and 16988
- GCF of 16982 and 16989
- GCF of 16982 and 16990
- GCF of 16982 and 16991
- GCF of 16982 and 16992
- GCF of 16982 and 16993
- GCF of 16982 and 16994
- GCF of 16982 and 16995
- GCF of 16982 and 16996
- GCF of 16982 and 16997
- GCF of 16982 and 16998
- GCF of 16982 and 16999
- GCF of 16982 and 17000
- GCF of 16982 and 17001
- GCF of 16982 and 17002