What is the Greatest Common Factor of 88238 and 88256?

Greatest common factor (GCF) of 88238 and 88256 is 2.

GCF(88238,88256) = 2

We will now calculate the prime factors of 88238 and 88256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88238 and 88256.

How to find the GCF of 88238 and 88256?

We will first find the prime factorization of 88238 and 88256. After we will calculate the factors of 88238 and 88256 and find the biggest common factor number .

Step-1: Prime Factorization of 88238

Prime factors of 88238 are 2, 44119. Prime factorization of 88238 in exponential form is:

88238 = 2¹ × 44119¹

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 88238

List of positive integer factors of 88238 that divides 88238 without a remainder.

1, 2, 44119

Step-4: Factors of 88256

List of positive integer factors of 88256 that divides 88238 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 88238 and 88256. The biggest common factor number is the GCF number.
So the greatest common factor 88238 and 88256 is 2.

Also check out the Least Common Multiple of 88238 and 88256