What is the Greatest Common Factor of 17010 and 17014?
Greatest common factor (GCF) of 17010 and 17014 is 2.
GCF(17010,17014) = 2
We will now calculate the prime factors of 17010 and 17014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17010 and 17014.
How to find the GCF of 17010 and 17014?
We will first find the prime factorization of 17010 and 17014. After we will calculate the factors of 17010 and 17014 and find the biggest common factor number .
Step-1: Prime Factorization of 17010
Prime factors of 17010 are 2, 3, 5, 7. Prime factorization of 17010 in exponential form is:
17010 = 21 × 35 × 51 × 71
Step-2: Prime Factorization of 17014
Prime factors of 17014 are 2, 47, 181. Prime factorization of 17014 in exponential form is:
17014 = 21 × 471 × 1811
Step-3: Factors of 17010
List of positive integer factors of 17010 that divides 17010 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 243, 270, 315, 378, 405, 486, 567, 630, 810, 945, 1134, 1215, 1701, 1890, 2430, 2835, 3402, 5670, 8505
Step-4: Factors of 17014
List of positive integer factors of 17014 that divides 17010 without a remainder.
1, 2, 47, 94, 181, 362, 8507
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17010 and 17014. The biggest common factor number is the GCF number.
So the greatest common factor 17010 and 17014 is 2.
Also check out the Least Common Multiple of 17010 and 17014
Related Greatest Common Factors of 17010
- GCF of 17010 and 17014
- GCF of 17010 and 17015
- GCF of 17010 and 17016
- GCF of 17010 and 17017
- GCF of 17010 and 17018
- GCF of 17010 and 17019
- GCF of 17010 and 17020
- GCF of 17010 and 17021
- GCF of 17010 and 17022
- GCF of 17010 and 17023
- GCF of 17010 and 17024
- GCF of 17010 and 17025
- GCF of 17010 and 17026
- GCF of 17010 and 17027
- GCF of 17010 and 17028
- GCF of 17010 and 17029
- GCF of 17010 and 17030
Related Greatest Common Factors of 17014
- GCF of 17014 and 17018
- GCF of 17014 and 17019
- GCF of 17014 and 17020
- GCF of 17014 and 17021
- GCF of 17014 and 17022
- GCF of 17014 and 17023
- GCF of 17014 and 17024
- GCF of 17014 and 17025
- GCF of 17014 and 17026
- GCF of 17014 and 17027
- GCF of 17014 and 17028
- GCF of 17014 and 17029
- GCF of 17014 and 17030
- GCF of 17014 and 17031
- GCF of 17014 and 17032
- GCF of 17014 and 17033
- GCF of 17014 and 17034