What is the Greatest Common Factor of 96128 and 96140?

Greatest common factor (GCF) of 96128 and 96140 is 4.

GCF(96128,96140) = 4

We will now calculate the prime factors of 96128 and 96140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96128 and 96140.

How to find the GCF of 96128 and 96140?

We will first find the prime factorization of 96128 and 96140. After we will calculate the factors of 96128 and 96140 and find the biggest common factor number .

Step-1: Prime Factorization of 96128

Prime factors of 96128 are 2, 751. Prime factorization of 96128 in exponential form is:

96128 = 2⁷ × 751¹

Step-2: Prime Factorization of 96140

Prime factors of 96140 are 2, 5, 11, 19, 23. Prime factorization of 96140 in exponential form is:

96140 = 2² × 5¹ × 11¹ × 19¹ × 23¹

Step-3: Factors of 96128

List of positive integer factors of 96128 that divides 96128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 751, 1502, 3004, 6008, 12016, 24032, 48064

Step-4: Factors of 96140

List of positive integer factors of 96140 that divides 96128 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 23, 38, 44, 46, 55, 76, 92, 95, 110, 115, 190, 209, 220, 230, 253, 380, 418, 437, 460, 506, 836, 874, 1012, 1045, 1265, 1748, 2090, 2185, 2530, 4180, 4370, 4807, 5060, 8740, 9614, 19228, 24035, 48070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96128 and 96140. The biggest common factor number is the GCF number.
So the greatest common factor 96128 and 96140 is 4.

Also check out the Least Common Multiple of 96128 and 96140