What is the Greatest Common Factor of 52848 and 52860?

Greatest common factor (GCF) of 52848 and 52860 is 12.

GCF(52848,52860) = 12

We will now calculate the prime factors of 52848 and 52860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52848 and 52860.

How to find the GCF of 52848 and 52860?

We will first find the prime factorization of 52848 and 52860. After we will calculate the factors of 52848 and 52860 and find the biggest common factor number .

Step-1: Prime Factorization of 52848

Prime factors of 52848 are 2, 3, 367. Prime factorization of 52848 in exponential form is:

52848 = 2⁴ × 3² × 367¹

Step-2: Prime Factorization of 52860

Prime factors of 52860 are 2, 3, 5, 881. Prime factorization of 52860 in exponential form is:

52860 = 2² × 3¹ × 5¹ × 881¹

Step-3: Factors of 52848

List of positive integer factors of 52848 that divides 52848 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 5872, 6606, 8808, 13212, 17616, 26424

Step-4: Factors of 52860

List of positive integer factors of 52860 that divides 52848 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 881, 1762, 2643, 3524, 4405, 5286, 8810, 10572, 13215, 17620, 26430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52848 and 52860. The biggest common factor number is the GCF number.
So the greatest common factor 52848 and 52860 is 12.

Also check out the Least Common Multiple of 52848 and 52860