What is the Greatest Common Factor of 66148 and 66156?

Greatest common factor (GCF) of 66148 and 66156 is 4.

GCF(66148,66156) = 4

We will now calculate the prime factors of 66148 and 66156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66148 and 66156.

How to find the GCF of 66148 and 66156?

We will first find the prime factorization of 66148 and 66156. After we will calculate the factors of 66148 and 66156 and find the biggest common factor number .

Step-1: Prime Factorization of 66148

Prime factors of 66148 are 2, 23, 719. Prime factorization of 66148 in exponential form is:

66148 = 2² × 23¹ × 719¹

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 66148

List of positive integer factors of 66148 that divides 66148 without a remainder.

1, 2, 4, 23, 46, 92, 719, 1438, 2876, 16537, 33074

Step-4: Factors of 66156

List of positive integer factors of 66156 that divides 66148 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 66148 and 66156. The biggest common factor number is the GCF number.
So the greatest common factor 66148 and 66156 is 4.

Also check out the Least Common Multiple of 66148 and 66156