What is the Greatest Common Factor of 34142 and 34148?
Greatest common factor (GCF) of 34142 and 34148 is 2.
GCF(34142,34148) = 2
We will now calculate the prime factors of 34142 and 34148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34142 and 34148.
How to find the GCF of 34142 and 34148?
We will first find the prime factorization of 34142 and 34148. After we will calculate the factors of 34142 and 34148 and find the biggest common factor number .
Step-1: Prime Factorization of 34142
Prime factors of 34142 are 2, 43, 397. Prime factorization of 34142 in exponential form is:
34142 = 21 × 431 × 3971
Step-2: Prime Factorization of 34148
Prime factors of 34148 are 2, 8537. Prime factorization of 34148 in exponential form is:
34148 = 22 × 85371
Step-3: Factors of 34142
List of positive integer factors of 34142 that divides 34142 without a remainder.
1, 2, 43, 86, 397, 794, 17071
Step-4: Factors of 34148
List of positive integer factors of 34148 that divides 34142 without a remainder.
1, 2, 4, 8537, 17074
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34142 and 34148. The biggest common factor number is the GCF number.
So the greatest common factor 34142 and 34148 is 2.
Also check out the Least Common Multiple of 34142 and 34148
Related Greatest Common Factors of 34142
- GCF of 34142 and 34146
- GCF of 34142 and 34147
- GCF of 34142 and 34148
- GCF of 34142 and 34149
- GCF of 34142 and 34150
- GCF of 34142 and 34151
- GCF of 34142 and 34152
- GCF of 34142 and 34153
- GCF of 34142 and 34154
- GCF of 34142 and 34155
- GCF of 34142 and 34156
- GCF of 34142 and 34157
- GCF of 34142 and 34158
- GCF of 34142 and 34159
- GCF of 34142 and 34160
- GCF of 34142 and 34161
- GCF of 34142 and 34162
Related Greatest Common Factors of 34148
- GCF of 34148 and 34152
- GCF of 34148 and 34153
- GCF of 34148 and 34154
- GCF of 34148 and 34155
- GCF of 34148 and 34156
- GCF of 34148 and 34157
- GCF of 34148 and 34158
- GCF of 34148 and 34159
- GCF of 34148 and 34160
- GCF of 34148 and 34161
- GCF of 34148 and 34162
- GCF of 34148 and 34163
- GCF of 34148 and 34164
- GCF of 34148 and 34165
- GCF of 34148 and 34166
- GCF of 34148 and 34167
- GCF of 34148 and 34168