What is the Greatest Common Factor of 88118 and 88128?

Greatest common factor (GCF) of 88118 and 88128 is 2.

GCF(88118,88128) = 2

We will now calculate the prime factors of 88118 and 88128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88118 and 88128.

How to find the GCF of 88118 and 88128?

We will first find the prime factorization of 88118 and 88128. After we will calculate the factors of 88118 and 88128 and find the biggest common factor number .

Step-1: Prime Factorization of 88118

Prime factors of 88118 are 2, 44059. Prime factorization of 88118 in exponential form is:

88118 = 2¹ × 44059¹

Step-2: 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-3: Factors of 88118

List of positive integer factors of 88118 that divides 88118 without a remainder.

1, 2, 44059

Step-4: Factors of 88128

List of positive integer factors of 88128 that divides 88118 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88118 and 88128. The biggest common factor number is the GCF number.
So the greatest common factor 88118 and 88128 is 2.

Also check out the Least Common Multiple of 88118 and 88128