What is the Greatest Common Factor of 52804 and 52812?

Greatest common factor (GCF) of 52804 and 52812 is 4.

GCF(52804,52812) = 4

We will now calculate the prime factors of 52804 and 52812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52804 and 52812.

How to find the GCF of 52804 and 52812?

We will first find the prime factorization of 52804 and 52812. After we will calculate the factors of 52804 and 52812 and find the biggest common factor number .

Step-1: Prime Factorization of 52804

Prime factors of 52804 are 2, 43, 307. Prime factorization of 52804 in exponential form is:

52804 = 2² × 43¹ × 307¹

Step-2: 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-3: Factors of 52804

List of positive integer factors of 52804 that divides 52804 without a remainder.

1, 2, 4, 43, 86, 172, 307, 614, 1228, 13201, 26402

Step-4: Factors of 52812

List of positive integer factors of 52812 that divides 52804 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52804 and 52812. The biggest common factor number is the GCF number.
So the greatest common factor 52804 and 52812 is 4.

Also check out the Least Common Multiple of 52804 and 52812