What is the Greatest Common Factor of 88128 and 88134?

Greatest common factor (GCF) of 88128 and 88134 is 6.

GCF(88128,88134) = 6

We will now calculate the prime factors of 88128 and 88134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88128 and 88134.

How to find the GCF of 88128 and 88134?

We will first find the prime factorization of 88128 and 88134. After we will calculate the factors of 88128 and 88134 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 88134

Prime factors of 88134 are 2, 3, 37, 397. Prime factorization of 88134 in exponential form is:

88134 = 2¹ × 3¹ × 37¹ × 397¹

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 88134

List of positive integer factors of 88134 that divides 88128 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 397, 794, 1191, 2382, 14689, 29378, 44067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88128 and 88134. The biggest common factor number is the GCF number.
So the greatest common factor 88128 and 88134 is 6.

Also check out the Least Common Multiple of 88128 and 88134