What is the Greatest Common Factor of 66141 and 66156?

Greatest common factor (GCF) of 66141 and 66156 is 3.

GCF(66141,66156) = 3

We will now calculate the prime factors of 66141 and 66156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66141 and 66156.

How to find the GCF of 66141 and 66156?

We will first find the prime factorization of 66141 and 66156. After we will calculate the factors of 66141 and 66156 and find the biggest common factor number .

Step-1: Prime Factorization of 66141

Prime factors of 66141 are 3, 7349. Prime factorization of 66141 in exponential form is:

66141 = 3² × 7349¹

Step-2: Prime Factorization of 66156

Prime factors of 66156 are 2, 3, 37, 149. Prime factorization of 66156 in exponential form is:

66156 = 2² × 3¹ × 37¹ × 149¹

Step-3: Factors of 66141

List of positive integer factors of 66141 that divides 66141 without a remainder.

1, 3, 9, 7349, 22047

Step-4: Factors of 66156

List of positive integer factors of 66156 that divides 66141 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 149, 222, 298, 444, 447, 596, 894, 1788, 5513, 11026, 16539, 22052, 33078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66141 and 66156. The biggest common factor number is the GCF number.
So the greatest common factor 66141 and 66156 is 3.

Also check out the Least Common Multiple of 66141 and 66156