What is the Greatest Common Factor of 96272 and 96288?

Greatest common factor (GCF) of 96272 and 96288 is 16.

GCF(96272,96288) = 16

We will now calculate the prime factors of 96272 and 96288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96272 and 96288.

How to find the GCF of 96272 and 96288?

We will first find the prime factorization of 96272 and 96288. After we will calculate the factors of 96272 and 96288 and find the biggest common factor number .

Step-1: Prime Factorization of 96272

Prime factors of 96272 are 2, 11, 547. Prime factorization of 96272 in exponential form is:

96272 = 2⁴ × 11¹ × 547¹

Step-2: Prime Factorization of 96288

Prime factors of 96288 are 2, 3, 17, 59. Prime factorization of 96288 in exponential form is:

96288 = 2⁵ × 3¹ × 17¹ × 59¹

Step-3: Factors of 96272

List of positive integer factors of 96272 that divides 96272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 547, 1094, 2188, 4376, 6017, 8752, 12034, 24068, 48136

Step-4: Factors of 96288

List of positive integer factors of 96288 that divides 96272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 59, 68, 96, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 544, 708, 816, 944, 1003, 1416, 1632, 1888, 2006, 2832, 3009, 4012, 5664, 6018, 8024, 12036, 16048, 24072, 32096, 48144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96272 and 96288. The biggest common factor number is the GCF number.
So the greatest common factor 96272 and 96288 is 16.

Also check out the Least Common Multiple of 96272 and 96288