What is the Greatest Common Factor of 52096 and 52112?

Greatest common factor (GCF) of 52096 and 52112 is 16.

GCF(52096,52112) = 16

We will now calculate the prime factors of 52096 and 52112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52096 and 52112.

How to find the GCF of 52096 and 52112?

We will first find the prime factorization of 52096 and 52112. After we will calculate the factors of 52096 and 52112 and find the biggest common factor number .

Step-1: Prime Factorization of 52096

Prime factors of 52096 are 2, 11, 37. Prime factorization of 52096 in exponential form is:

52096 = 2⁷ × 11¹ × 37¹

Step-2: Prime Factorization of 52112

Prime factors of 52112 are 2, 3257. Prime factorization of 52112 in exponential form is:

52112 = 2⁴ × 3257¹

Step-3: Factors of 52096

List of positive integer factors of 52096 that divides 52096 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 64, 74, 88, 128, 148, 176, 296, 352, 407, 592, 704, 814, 1184, 1408, 1628, 2368, 3256, 4736, 6512, 13024, 26048

Step-4: Factors of 52112

List of positive integer factors of 52112 that divides 52096 without a remainder.

1, 2, 4, 8, 16, 3257, 6514, 13028, 26056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52096 and 52112. The biggest common factor number is the GCF number.
So the greatest common factor 52096 and 52112 is 16.

Also check out the Least Common Multiple of 52096 and 52112