What is the Greatest Common Factor of 53148 and 53166?

Greatest common factor (GCF) of 53148 and 53166 is 6.

GCF(53148,53166) = 6

We will now calculate the prime factors of 53148 and 53166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53148 and 53166.

How to find the GCF of 53148 and 53166?

We will first find the prime factorization of 53148 and 53166. After we will calculate the factors of 53148 and 53166 and find the biggest common factor number .

Step-1: Prime Factorization of 53148

Prime factors of 53148 are 2, 3, 43, 103. Prime factorization of 53148 in exponential form is:

53148 = 2² × 3¹ × 43¹ × 103¹

Step-2: Prime Factorization of 53166

Prime factors of 53166 are 2, 3, 8861. Prime factorization of 53166 in exponential form is:

53166 = 2¹ × 3¹ × 8861¹

Step-3: Factors of 53148

List of positive integer factors of 53148 that divides 53148 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 103, 129, 172, 206, 258, 309, 412, 516, 618, 1236, 4429, 8858, 13287, 17716, 26574

Step-4: Factors of 53166

List of positive integer factors of 53166 that divides 53148 without a remainder.

1, 2, 3, 6, 8861, 17722, 26583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53148 and 53166. The biggest common factor number is the GCF number.
So the greatest common factor 53148 and 53166 is 6.

Also check out the Least Common Multiple of 53148 and 53166