What is the Greatest Common Factor of 67010 and 67014?
Greatest common factor (GCF) of 67010 and 67014 is 2.
GCF(67010,67014) = 2
We will now calculate the prime factors of 67010 and 67014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67010 and 67014.
How to find the GCF of 67010 and 67014?
We will first find the prime factorization of 67010 and 67014. After we will calculate the factors of 67010 and 67014 and find the biggest common factor number .
Step-1: Prime Factorization of 67010
Prime factors of 67010 are 2, 5, 6701. Prime factorization of 67010 in exponential form is:
67010 = 21 × 51 × 67011
Step-2: Prime Factorization of 67014
Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:
67014 = 21 × 33 × 171 × 731
Step-3: Factors of 67010
List of positive integer factors of 67010 that divides 67010 without a remainder.
1, 2, 5, 10, 6701, 13402, 33505
Step-4: Factors of 67014
List of positive integer factors of 67014 that divides 67010 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67010 and 67014. The biggest common factor number is the GCF number.
So the greatest common factor 67010 and 67014 is 2.
Also check out the Least Common Multiple of 67010 and 67014
Related Greatest Common Factors of 67010
- GCF of 67010 and 67014
- GCF of 67010 and 67015
- GCF of 67010 and 67016
- GCF of 67010 and 67017
- GCF of 67010 and 67018
- GCF of 67010 and 67019
- GCF of 67010 and 67020
- GCF of 67010 and 67021
- GCF of 67010 and 67022
- GCF of 67010 and 67023
- GCF of 67010 and 67024
- GCF of 67010 and 67025
- GCF of 67010 and 67026
- GCF of 67010 and 67027
- GCF of 67010 and 67028
- GCF of 67010 and 67029
- GCF of 67010 and 67030
Related Greatest Common Factors of 67014
- GCF of 67014 and 67018
- GCF of 67014 and 67019
- GCF of 67014 and 67020
- GCF of 67014 and 67021
- GCF of 67014 and 67022
- GCF of 67014 and 67023
- GCF of 67014 and 67024
- GCF of 67014 and 67025
- GCF of 67014 and 67026
- GCF of 67014 and 67027
- GCF of 67014 and 67028
- GCF of 67014 and 67029
- GCF of 67014 and 67030
- GCF of 67014 and 67031
- GCF of 67014 and 67032
- GCF of 67014 and 67033
- GCF of 67014 and 67034