What is the Greatest Common Factor of 53148 and 53168?

Greatest common factor (GCF) of 53148 and 53168 is 4.

GCF(53148,53168) = 4

We will now calculate the prime factors of 53148 and 53168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53148 and 53168.

How to find the GCF of 53148 and 53168?

We will first find the prime factorization of 53148 and 53168. After we will calculate the factors of 53148 and 53168 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 53168

Prime factors of 53168 are 2, 3323. Prime factorization of 53168 in exponential form is:

53168 = 2⁴ × 3323¹

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 53168

List of positive integer factors of 53168 that divides 53148 without a remainder.

1, 2, 4, 8, 16, 3323, 6646, 13292, 26584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53148 and 53168. The biggest common factor number is the GCF number.
So the greatest common factor 53148 and 53168 is 4.

Also check out the Least Common Multiple of 53148 and 53168