What is the Greatest Common Factor of 88240 and 88256?

Greatest common factor (GCF) of 88240 and 88256 is 16.

GCF(88240,88256) = 16

We will now calculate the prime factors of 88240 and 88256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88240 and 88256.

How to find the GCF of 88240 and 88256?

We will first find the prime factorization of 88240 and 88256. After we will calculate the factors of 88240 and 88256 and find the biggest common factor number .

Step-1: Prime Factorization of 88240

Prime factors of 88240 are 2, 5, 1103. Prime factorization of 88240 in exponential form is:

88240 = 2⁴ × 5¹ × 1103¹

Step-2: 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-3: Factors of 88240

List of positive integer factors of 88240 that divides 88240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1103, 2206, 4412, 5515, 8824, 11030, 17648, 22060, 44120

Step-4: Factors of 88256

List of positive integer factors of 88256 that divides 88240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88240 and 88256. The biggest common factor number is the GCF number.
So the greatest common factor 88240 and 88256 is 16.

Also check out the Least Common Multiple of 88240 and 88256