What is the Greatest Common Factor of 52109 and 52128?

Greatest common factor (GCF) of 52109 and 52128 is 1.

GCF(52109,52128) = 1

We will now calculate the prime factors of 52109 and 52128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52109 and 52128.

How to find the GCF of 52109 and 52128?

We will first find the prime factorization of 52109 and 52128. After we will calculate the factors of 52109 and 52128 and find the biggest common factor number .

Step-1: Prime Factorization of 52109

Prime factors of 52109 are 107, 487. Prime factorization of 52109 in exponential form is:

52109 = 107¹ × 487¹

Step-2: 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-3: Factors of 52109

List of positive integer factors of 52109 that divides 52109 without a remainder.

1, 107, 487

Step-4: Factors of 52128

List of positive integer factors of 52128 that divides 52109 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52109 and 52128. The biggest common factor number is the GCF number.
So the greatest common factor 52109 and 52128 is 1.

Also check out the Least Common Multiple of 52109 and 52128