What is the Greatest Common Factor of 66129 and 66138?
Greatest common factor (GCF) of 66129 and 66138 is 3.
GCF(66129,66138) = 3
We will now calculate the prime factors of 66129 and 66138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66129 and 66138.
How to find the GCF of 66129 and 66138?
We will first find the prime factorization of 66129 and 66138. After we will calculate the factors of 66129 and 66138 and find the biggest common factor number .
Step-1: Prime Factorization of 66129
Prime factors of 66129 are 3, 7, 47, 67. Prime factorization of 66129 in exponential form is:
66129 = 31 × 71 × 471 × 671
Step-2: Prime Factorization of 66138
Prime factors of 66138 are 2, 3, 73, 151. Prime factorization of 66138 in exponential form is:
66138 = 21 × 31 × 731 × 1511
Step-3: Factors of 66129
List of positive integer factors of 66129 that divides 66129 without a remainder.
1, 3, 7, 21, 47, 67, 141, 201, 329, 469, 987, 1407, 3149, 9447, 22043
Step-4: Factors of 66138
List of positive integer factors of 66138 that divides 66129 without a remainder.
1, 2, 3, 6, 73, 146, 151, 219, 302, 438, 453, 906, 11023, 22046, 33069
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66129 and 66138. The biggest common factor number is the GCF number.
So the greatest common factor 66129 and 66138 is 3.
Also check out the Least Common Multiple of 66129 and 66138
Related Greatest Common Factors of 66129
- GCF of 66129 and 66133
- GCF of 66129 and 66134
- GCF of 66129 and 66135
- GCF of 66129 and 66136
- GCF of 66129 and 66137
- GCF of 66129 and 66138
- GCF of 66129 and 66139
- GCF of 66129 and 66140
- GCF of 66129 and 66141
- GCF of 66129 and 66142
- GCF of 66129 and 66143
- GCF of 66129 and 66144
- GCF of 66129 and 66145
- GCF of 66129 and 66146
- GCF of 66129 and 66147
- GCF of 66129 and 66148
- GCF of 66129 and 66149
Related Greatest Common Factors of 66138
- GCF of 66138 and 66142
- GCF of 66138 and 66143
- GCF of 66138 and 66144
- GCF of 66138 and 66145
- GCF of 66138 and 66146
- GCF of 66138 and 66147
- GCF of 66138 and 66148
- GCF of 66138 and 66149
- GCF of 66138 and 66150
- GCF of 66138 and 66151
- GCF of 66138 and 66152
- GCF of 66138 and 66153
- GCF of 66138 and 66154
- GCF of 66138 and 66155
- GCF of 66138 and 66156
- GCF of 66138 and 66157
- GCF of 66138 and 66158