What is the Greatest Common Factor of 67136 and 67146?
Greatest common factor (GCF) of 67136 and 67146 is 2.
GCF(67136,67146) = 2
We will now calculate the prime factors of 67136 and 67146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67136 and 67146.
How to find the GCF of 67136 and 67146?
We will first find the prime factorization of 67136 and 67146. After we will calculate the factors of 67136 and 67146 and find the biggest common factor number .
Step-1: Prime Factorization of 67136
Prime factors of 67136 are 2, 1049. Prime factorization of 67136 in exponential form is:
67136 = 26 × 10491
Step-2: Prime Factorization of 67146
Prime factors of 67146 are 2, 3, 19, 31. Prime factorization of 67146 in exponential form is:
67146 = 21 × 31 × 192 × 311
Step-3: Factors of 67136
List of positive integer factors of 67136 that divides 67136 without a remainder.
1, 2, 4, 8, 16, 32, 64, 1049, 2098, 4196, 8392, 16784, 33568
Step-4: Factors of 67146
List of positive integer factors of 67146 that divides 67136 without a remainder.
1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 361, 589, 722, 1083, 1178, 1767, 2166, 3534, 11191, 22382, 33573
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67136 and 67146. The biggest common factor number is the GCF number.
So the greatest common factor 67136 and 67146 is 2.
Also check out the Least Common Multiple of 67136 and 67146
Related Greatest Common Factors of 67136
- GCF of 67136 and 67140
- GCF of 67136 and 67141
- GCF of 67136 and 67142
- GCF of 67136 and 67143
- GCF of 67136 and 67144
- GCF of 67136 and 67145
- GCF of 67136 and 67146
- GCF of 67136 and 67147
- GCF of 67136 and 67148
- GCF of 67136 and 67149
- GCF of 67136 and 67150
- GCF of 67136 and 67151
- GCF of 67136 and 67152
- GCF of 67136 and 67153
- GCF of 67136 and 67154
- GCF of 67136 and 67155
- GCF of 67136 and 67156
Related Greatest Common Factors of 67146
- GCF of 67146 and 67150
- GCF of 67146 and 67151
- GCF of 67146 and 67152
- GCF of 67146 and 67153
- GCF of 67146 and 67154
- GCF of 67146 and 67155
- GCF of 67146 and 67156
- GCF of 67146 and 67157
- GCF of 67146 and 67158
- GCF of 67146 and 67159
- GCF of 67146 and 67160
- GCF of 67146 and 67161
- GCF of 67146 and 67162
- GCF of 67146 and 67163
- GCF of 67146 and 67164
- GCF of 67146 and 67165
- GCF of 67146 and 67166