What is the Greatest Common Factor of 88250 and 88256?

Greatest common factor (GCF) of 88250 and 88256 is 2.

GCF(88250,88256) = 2

We will now calculate the prime factors of 88250 and 88256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88250 and 88256.

How to find the GCF of 88250 and 88256?

We will first find the prime factorization of 88250 and 88256. After we will calculate the factors of 88250 and 88256 and find the biggest common factor number .

Step-1: Prime Factorization of 88250

Prime factors of 88250 are 2, 5, 353. Prime factorization of 88250 in exponential form is:

88250 = 2¹ × 5³ × 353¹

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 88250

List of positive integer factors of 88250 that divides 88250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 353, 706, 1765, 3530, 8825, 17650, 44125

Step-4: Factors of 88256

List of positive integer factors of 88256 that divides 88250 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 88250 and 88256. The biggest common factor number is the GCF number.
So the greatest common factor 88250 and 88256 is 2.

Also check out the Least Common Multiple of 88250 and 88256