What is the Greatest Common Factor of 53148 and 53160?

Greatest common factor (GCF) of 53148 and 53160 is 12.

GCF(53148,53160) = 12

We will now calculate the prime factors of 53148 and 53160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53148 and 53160.

How to find the GCF of 53148 and 53160?

We will first find the prime factorization of 53148 and 53160. After we will calculate the factors of 53148 and 53160 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 53160

Prime factors of 53160 are 2, 3, 5, 443. Prime factorization of 53160 in exponential form is:

53160 = 2³ × 3¹ × 5¹ × 443¹

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 53160

List of positive integer factors of 53160 that divides 53148 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 443, 886, 1329, 1772, 2215, 2658, 3544, 4430, 5316, 6645, 8860, 10632, 13290, 17720, 26580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53148 and 53160. The biggest common factor number is the GCF number.
So the greatest common factor 53148 and 53160 is 12.

Also check out the Least Common Multiple of 53148 and 53160