What is the Greatest Common Factor of 88242 and 88256?

Greatest common factor (GCF) of 88242 and 88256 is 14.

GCF(88242,88256) = 14

We will now calculate the prime factors of 88242 and 88256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88242 and 88256.

How to find the GCF of 88242 and 88256?

We will first find the prime factorization of 88242 and 88256. After we will calculate the factors of 88242 and 88256 and find the biggest common factor number .

Step-1: Prime Factorization of 88242

Prime factors of 88242 are 2, 3, 7, 11, 191. Prime factorization of 88242 in exponential form is:

88242 = 2¹ × 3¹ × 7¹ × 11¹ × 191¹

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 88242

List of positive integer factors of 88242 that divides 88242 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 191, 231, 382, 462, 573, 1146, 1337, 2101, 2674, 4011, 4202, 6303, 8022, 12606, 14707, 29414, 44121

Step-4: Factors of 88256

List of positive integer factors of 88256 that divides 88242 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 88242 and 88256. The biggest common factor number is the GCF number.
So the greatest common factor 88242 and 88256 is 14.

Also check out the Least Common Multiple of 88242 and 88256