What is the Greatest Common Factor of 76096 and 76112?

Greatest common factor (GCF) of 76096 and 76112 is 16.

GCF(76096,76112) = 16

We will now calculate the prime factors of 76096 and 76112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76096 and 76112.

How to find the GCF of 76096 and 76112?

We will first find the prime factorization of 76096 and 76112. After we will calculate the factors of 76096 and 76112 and find the biggest common factor number .

Step-1: Prime Factorization of 76096

Prime factors of 76096 are 2, 29, 41. Prime factorization of 76096 in exponential form is:

76096 = 2⁶ × 29¹ × 41¹

Step-2: Prime Factorization of 76112

Prime factors of 76112 are 2, 67, 71. Prime factorization of 76112 in exponential form is:

76112 = 2⁴ × 67¹ × 71¹

Step-3: Factors of 76096

List of positive integer factors of 76096 that divides 76096 without a remainder.

1, 2, 4, 8, 16, 29, 32, 41, 58, 64, 82, 116, 164, 232, 328, 464, 656, 928, 1189, 1312, 1856, 2378, 2624, 4756, 9512, 19024, 38048

Step-4: Factors of 76112

List of positive integer factors of 76112 that divides 76096 without a remainder.

1, 2, 4, 8, 16, 67, 71, 134, 142, 268, 284, 536, 568, 1072, 1136, 4757, 9514, 19028, 38056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76096 and 76112. The biggest common factor number is the GCF number.
So the greatest common factor 76096 and 76112 is 16.

Also check out the Least Common Multiple of 76096 and 76112