What is the Greatest Common Factor of 52128 and 52144?

Greatest common factor (GCF) of 52128 and 52144 is 16.

GCF(52128,52144) = 16

We will now calculate the prime factors of 52128 and 52144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52128 and 52144.

How to find the GCF of 52128 and 52144?

We will first find the prime factorization of 52128 and 52144. After we will calculate the factors of 52128 and 52144 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 52144

Prime factors of 52144 are 2, 3259. Prime factorization of 52144 in exponential form is:

52144 = 2⁴ × 3259¹

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 52144

List of positive integer factors of 52144 that divides 52128 without a remainder.

1, 2, 4, 8, 16, 3259, 6518, 13036, 26072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52128 and 52144. The biggest common factor number is the GCF number.
So the greatest common factor 52128 and 52144 is 16.

Also check out the Least Common Multiple of 52128 and 52144