What is the Greatest Common Factor of 50142 and 50160?
Greatest common factor (GCF) of 50142 and 50160 is 6.
GCF(50142,50160) = 6
We will now calculate the prime factors of 50142 and 50160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50142 and 50160.
How to find the GCF of 50142 and 50160?
We will first find the prime factorization of 50142 and 50160. After we will calculate the factors of 50142 and 50160 and find the biggest common factor number .
Step-1: Prime Factorization of 50142
Prime factors of 50142 are 2, 3, 61, 137. Prime factorization of 50142 in exponential form is:
50142 = 21 × 31 × 611 × 1371
Step-2: Prime Factorization of 50160
Prime factors of 50160 are 2, 3, 5, 11, 19. Prime factorization of 50160 in exponential form is:
50160 = 24 × 31 × 51 × 111 × 191
Step-3: Factors of 50142
List of positive integer factors of 50142 that divides 50142 without a remainder.
1, 2, 3, 6, 61, 122, 137, 183, 274, 366, 411, 822, 8357, 16714, 25071
Step-4: Factors of 50160
List of positive integer factors of 50160 that divides 50142 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 19, 20, 22, 24, 30, 33, 38, 40, 44, 48, 55, 57, 60, 66, 76, 80, 88, 95, 110, 114, 120, 132, 152, 165, 176, 190, 209, 220, 228, 240, 264, 285, 304, 330, 380, 418, 440, 456, 528, 570, 627, 660, 760, 836, 880, 912, 1045, 1140, 1254, 1320, 1520, 1672, 2090, 2280, 2508, 2640, 3135, 3344, 4180, 4560, 5016, 6270, 8360, 10032, 12540, 16720, 25080
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50142 and 50160. The biggest common factor number is the GCF number.
So the greatest common factor 50142 and 50160 is 6.
Also check out the Least Common Multiple of 50142 and 50160
Related Greatest Common Factors of 50142
- GCF of 50142 and 50146
- GCF of 50142 and 50147
- GCF of 50142 and 50148
- GCF of 50142 and 50149
- GCF of 50142 and 50150
- GCF of 50142 and 50151
- GCF of 50142 and 50152
- GCF of 50142 and 50153
- GCF of 50142 and 50154
- GCF of 50142 and 50155
- GCF of 50142 and 50156
- GCF of 50142 and 50157
- GCF of 50142 and 50158
- GCF of 50142 and 50159
- GCF of 50142 and 50160
- GCF of 50142 and 50161
- GCF of 50142 and 50162
Related Greatest Common Factors of 50160
- GCF of 50160 and 50164
- GCF of 50160 and 50165
- GCF of 50160 and 50166
- GCF of 50160 and 50167
- GCF of 50160 and 50168
- GCF of 50160 and 50169
- GCF of 50160 and 50170
- GCF of 50160 and 50171
- GCF of 50160 and 50172
- GCF of 50160 and 50173
- GCF of 50160 and 50174
- GCF of 50160 and 50175
- GCF of 50160 and 50176
- GCF of 50160 and 50177
- GCF of 50160 and 50178
- GCF of 50160 and 50179
- GCF of 50160 and 50180