What is the Greatest Common Factor of 5126 and 5142?
Greatest common factor (GCF) of 5126 and 5142 is 2.
GCF(5126,5142) = 2
We will now calculate the prime factors of 5126 and 5142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5126 and 5142.
How to find the GCF of 5126 and 5142?
We will first find the prime factorization of 5126 and 5142. After we will calculate the factors of 5126 and 5142 and find the biggest common factor number .
Step-1: Prime Factorization of 5126
Prime factors of 5126 are 2, 11, 233. Prime factorization of 5126 in exponential form is:
5126 = 21 × 111 × 2331
Step-2: Prime Factorization of 5142
Prime factors of 5142 are 2, 3, 857. Prime factorization of 5142 in exponential form is:
5142 = 21 × 31 × 8571
Step-3: Factors of 5126
List of positive integer factors of 5126 that divides 5126 without a remainder.
1, 2, 11, 22, 233, 466, 2563
Step-4: Factors of 5142
List of positive integer factors of 5142 that divides 5126 without a remainder.
1, 2, 3, 6, 857, 1714, 2571
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5126 and 5142. The biggest common factor number is the GCF number.
So the greatest common factor 5126 and 5142 is 2.
Also check out the Least Common Multiple of 5126 and 5142
Related Greatest Common Factors of 5126
- GCF of 5126 and 5130
- GCF of 5126 and 5131
- GCF of 5126 and 5132
- GCF of 5126 and 5133
- GCF of 5126 and 5134
- GCF of 5126 and 5135
- GCF of 5126 and 5136
- GCF of 5126 and 5137
- GCF of 5126 and 5138
- GCF of 5126 and 5139
- GCF of 5126 and 5140
- GCF of 5126 and 5141
- GCF of 5126 and 5142
- GCF of 5126 and 5143
- GCF of 5126 and 5144
- GCF of 5126 and 5145
- GCF of 5126 and 5146
Related Greatest Common Factors of 5142
- GCF of 5142 and 5146
- GCF of 5142 and 5147
- GCF of 5142 and 5148
- GCF of 5142 and 5149
- GCF of 5142 and 5150
- GCF of 5142 and 5151
- GCF of 5142 and 5152
- GCF of 5142 and 5153
- GCF of 5142 and 5154
- GCF of 5142 and 5155
- GCF of 5142 and 5156
- GCF of 5142 and 5157
- GCF of 5142 and 5158
- GCF of 5142 and 5159
- GCF of 5142 and 5160
- GCF of 5142 and 5161
- GCF of 5142 and 5162