What is the Greatest Common Factor of 88256 and 88272?

Greatest common factor (GCF) of 88256 and 88272 is 16.

GCF(88256,88272) = 16

We will now calculate the prime factors of 88256 and 88272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88256 and 88272.

How to find the GCF of 88256 and 88272?

We will first find the prime factorization of 88256 and 88272. After we will calculate the factors of 88256 and 88272 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 88272

Prime factors of 88272 are 2, 3, 613. Prime factorization of 88272 in exponential form is:

88272 = 2⁴ × 3² × 613¹

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 88272

List of positive integer factors of 88272 that divides 88256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 613, 1226, 1839, 2452, 3678, 4904, 5517, 7356, 9808, 11034, 14712, 22068, 29424, 44136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88256 and 88272. The biggest common factor number is the GCF number.
So the greatest common factor 88256 and 88272 is 16.

Also check out the Least Common Multiple of 88256 and 88272