What is the Greatest Common Factor of 88128 and 88132?

Greatest common factor (GCF) of 88128 and 88132 is 4.

GCF(88128,88132) = 4

We will now calculate the prime factors of 88128 and 88132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88128 and 88132.

How to find the GCF of 88128 and 88132?

We will first find the prime factorization of 88128 and 88132. After we will calculate the factors of 88128 and 88132 and find the biggest common factor number .

Step-1: Prime Factorization of 88128

Prime factors of 88128 are 2, 3, 17. Prime factorization of 88128 in exponential form is:

88128 = 2⁶ × 3⁴ × 17¹

Step-2: Prime Factorization of 88132

Prime factors of 88132 are 2, 11, 2003. Prime factorization of 88132 in exponential form is:

88132 = 2² × 11¹ × 2003¹

Step-3: Factors of 88128

List of positive integer factors of 88128 that divides 88128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 32, 34, 36, 48, 51, 54, 64, 68, 72, 81, 96, 102, 108, 136, 144, 153, 162, 192, 204, 216, 272, 288, 306, 324, 408, 432, 459, 544, 576, 612, 648, 816, 864, 918, 1088, 1224, 1296, 1377, 1632, 1728, 1836, 2448, 2592, 2754, 3264, 3672, 4896, 5184, 5508, 7344, 9792, 11016, 14688, 22032, 29376, 44064

Step-4: Factors of 88132

List of positive integer factors of 88132 that divides 88128 without a remainder.

1, 2, 4, 11, 22, 44, 2003, 4006, 8012, 22033, 44066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88128 and 88132. The biggest common factor number is the GCF number.
So the greatest common factor 88128 and 88132 is 4.

Also check out the Least Common Multiple of 88128 and 88132