What is the Greatest Common Factor of 88768 and 88784?

Greatest common factor (GCF) of 88768 and 88784 is 16.

GCF(88768,88784) = 16

We will now calculate the prime factors of 88768 and 88784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88768 and 88784.

How to find the GCF of 88768 and 88784?

We will first find the prime factorization of 88768 and 88784. After we will calculate the factors of 88768 and 88784 and find the biggest common factor number .

Step-1: Prime Factorization of 88768

Prime factors of 88768 are 2, 19, 73. Prime factorization of 88768 in exponential form is:

88768 = 2⁶ × 19¹ × 73¹

Step-2: Prime Factorization of 88784

Prime factors of 88784 are 2, 31, 179. Prime factorization of 88784 in exponential form is:

88784 = 2⁴ × 31¹ × 179¹

Step-3: Factors of 88768

List of positive integer factors of 88768 that divides 88768 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 73, 76, 146, 152, 292, 304, 584, 608, 1168, 1216, 1387, 2336, 2774, 4672, 5548, 11096, 22192, 44384

Step-4: Factors of 88784

List of positive integer factors of 88784 that divides 88768 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 179, 248, 358, 496, 716, 1432, 2864, 5549, 11098, 22196, 44392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88768 and 88784. The biggest common factor number is the GCF number.
So the greatest common factor 88768 and 88784 is 16.

Also check out the Least Common Multiple of 88768 and 88784