What is the Greatest Common Factor of 52128 and 52132?

Greatest common factor (GCF) of 52128 and 52132 is 4.

GCF(52128,52132) = 4

We will now calculate the prime factors of 52128 and 52132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52128 and 52132.

How to find the GCF of 52128 and 52132?

We will first find the prime factorization of 52128 and 52132. After we will calculate the factors of 52128 and 52132 and find the biggest common factor number .

Step-1: Prime Factorization of 52128

Prime factors of 52128 are 2, 3, 181. Prime factorization of 52128 in exponential form is:

52128 = 2⁵ × 3² × 181¹

Step-2: Prime Factorization of 52132

Prime factors of 52132 are 2, 13033. Prime factorization of 52132 in exponential form is:

52132 = 2² × 13033¹

Step-3: Factors of 52128

List of positive integer factors of 52128 that divides 52128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 181, 288, 362, 543, 724, 1086, 1448, 1629, 2172, 2896, 3258, 4344, 5792, 6516, 8688, 13032, 17376, 26064

Step-4: Factors of 52132

List of positive integer factors of 52132 that divides 52128 without a remainder.

1, 2, 4, 13033, 26066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52128 and 52132. The biggest common factor number is the GCF number.
So the greatest common factor 52128 and 52132 is 4.

Also check out the Least Common Multiple of 52128 and 52132