What is the Greatest Common Factor of 52830 and 52848?

Greatest common factor (GCF) of 52830 and 52848 is 18.

GCF(52830,52848) = 18

We will now calculate the prime factors of 52830 and 52848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52830 and 52848.

How to find the GCF of 52830 and 52848?

We will first find the prime factorization of 52830 and 52848. After we will calculate the factors of 52830 and 52848 and find the biggest common factor number .

Step-1: Prime Factorization of 52830

Prime factors of 52830 are 2, 3, 5, 587. Prime factorization of 52830 in exponential form is:

52830 = 2¹ × 3² × 5¹ × 587¹

Step-2: 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-3: Factors of 52830

List of positive integer factors of 52830 that divides 52830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 587, 1174, 1761, 2935, 3522, 5283, 5870, 8805, 10566, 17610, 26415

Step-4: Factors of 52848

List of positive integer factors of 52848 that divides 52830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52830 and 52848. The biggest common factor number is the GCF number.
So the greatest common factor 52830 and 52848 is 18.

Also check out the Least Common Multiple of 52830 and 52848