What is the Greatest Common Factor of 88256 and 88270?

Greatest common factor (GCF) of 88256 and 88270 is 14.

GCF(88256,88270) = 14

We will now calculate the prime factors of 88256 and 88270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88256 and 88270.

How to find the GCF of 88256 and 88270?

We will first find the prime factorization of 88256 and 88270. After we will calculate the factors of 88256 and 88270 and find the biggest common factor number .

Step-1: Prime Factorization of 88256

Prime factors of 88256 are 2, 7, 197. Prime factorization of 88256 in exponential form is:

88256 = 2⁶ × 7¹ × 197¹

Step-2: Prime Factorization of 88270

Prime factors of 88270 are 2, 5, 7, 13, 97. Prime factorization of 88270 in exponential form is:

88270 = 2¹ × 5¹ × 7¹ × 13¹ × 97¹

Step-3: Factors of 88256

List of positive integer factors of 88256 that divides 88256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 197, 224, 394, 448, 788, 1379, 1576, 2758, 3152, 5516, 6304, 11032, 12608, 22064, 44128

Step-4: Factors of 88270

List of positive integer factors of 88270 that divides 88256 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 97, 130, 182, 194, 455, 485, 679, 910, 970, 1261, 1358, 2522, 3395, 6305, 6790, 8827, 12610, 17654, 44135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88256 and 88270. The biggest common factor number is the GCF number.
So the greatest common factor 88256 and 88270 is 14.

Also check out the Least Common Multiple of 88256 and 88270