What is the Greatest Common Factor of 52032 and 52047?

Greatest common factor (GCF) of 52032 and 52047 is 3.

GCF(52032,52047) = 3

We will now calculate the prime factors of 52032 and 52047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52032 and 52047.

How to find the GCF of 52032 and 52047?

We will first find the prime factorization of 52032 and 52047. After we will calculate the factors of 52032 and 52047 and find the biggest common factor number .

Step-1: Prime Factorization of 52032

Prime factors of 52032 are 2, 3, 271. Prime factorization of 52032 in exponential form is:

52032 = 2⁶ × 3¹ × 271¹

Step-2: Prime Factorization of 52047

Prime factors of 52047 are 3, 5783. Prime factorization of 52047 in exponential form is:

52047 = 3² × 5783¹

Step-3: Factors of 52032

List of positive integer factors of 52032 that divides 52032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504, 8672, 13008, 17344, 26016

Step-4: Factors of 52047

List of positive integer factors of 52047 that divides 52032 without a remainder.

1, 3, 9, 5783, 17349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52032 and 52047. The biggest common factor number is the GCF number.
So the greatest common factor 52032 and 52047 is 3.

Also check out the Least Common Multiple of 52032 and 52047