What is the Greatest Common Factor of 52812 and 52830?

Greatest common factor (GCF) of 52812 and 52830 is 18.

GCF(52812,52830) = 18

We will now calculate the prime factors of 52812 and 52830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52812 and 52830.

How to find the GCF of 52812 and 52830?

We will first find the prime factorization of 52812 and 52830. After we will calculate the factors of 52812 and 52830 and find the biggest common factor number .

Step-1: Prime Factorization of 52812

Prime factors of 52812 are 2, 3, 163. Prime factorization of 52812 in exponential form is:

52812 = 2² × 3⁴ × 163¹

Step-2: 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-3: Factors of 52812

List of positive integer factors of 52812 that divides 52812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 163, 324, 326, 489, 652, 978, 1467, 1956, 2934, 4401, 5868, 8802, 13203, 17604, 26406

Step-4: Factors of 52830

List of positive integer factors of 52830 that divides 52812 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52812 and 52830. The biggest common factor number is the GCF number.
So the greatest common factor 52812 and 52830 is 18.

Also check out the Least Common Multiple of 52812 and 52830