What is the Greatest Common Factor of 88128 and 88138?

Greatest common factor (GCF) of 88128 and 88138 is 2.

GCF(88128,88138) = 2

We will now calculate the prime factors of 88128 and 88138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88128 and 88138.

How to find the GCF of 88128 and 88138?

We will first find the prime factorization of 88128 and 88138. After we will calculate the factors of 88128 and 88138 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 88138

Prime factors of 88138 are 2, 127, 347. Prime factorization of 88138 in exponential form is:

88138 = 2¹ × 127¹ × 347¹

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 88138

List of positive integer factors of 88138 that divides 88128 without a remainder.

1, 2, 127, 254, 347, 694, 44069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88128 and 88138. The biggest common factor number is the GCF number.
So the greatest common factor 88128 and 88138 is 2.

Also check out the Least Common Multiple of 88128 and 88138