What is the Greatest Common Factor of 52872 and 52884?

Greatest common factor (GCF) of 52872 and 52884 is 12.

GCF(52872,52884) = 12

We will now calculate the prime factors of 52872 and 52884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52872 and 52884.

How to find the GCF of 52872 and 52884?

We will first find the prime factorization of 52872 and 52884. After we will calculate the factors of 52872 and 52884 and find the biggest common factor number .

Step-1: Prime Factorization of 52872

Prime factors of 52872 are 2, 3, 2203. Prime factorization of 52872 in exponential form is:

52872 = 2³ × 3¹ × 2203¹

Step-2: Prime Factorization of 52884

Prime factors of 52884 are 2, 3, 13, 113. Prime factorization of 52884 in exponential form is:

52884 = 2² × 3² × 13¹ × 113¹

Step-3: Factors of 52872

List of positive integer factors of 52872 that divides 52872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2203, 4406, 6609, 8812, 13218, 17624, 26436

Step-4: Factors of 52884

List of positive integer factors of 52884 that divides 52872 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 113, 117, 156, 226, 234, 339, 452, 468, 678, 1017, 1356, 1469, 2034, 2938, 4068, 4407, 5876, 8814, 13221, 17628, 26442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52872 and 52884. The biggest common factor number is the GCF number.
So the greatest common factor 52872 and 52884 is 12.

Also check out the Least Common Multiple of 52872 and 52884