What is the Greatest Common Factor of 65280 and 65288?

Greatest common factor (GCF) of 65280 and 65288 is 8.

GCF(65280,65288) = 8

We will now calculate the prime factors of 65280 and 65288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65280 and 65288.

How to find the GCF of 65280 and 65288?

We will first find the prime factorization of 65280 and 65288. After we will calculate the factors of 65280 and 65288 and find the biggest common factor number .

Step-1: Prime Factorization of 65280

Prime factors of 65280 are 2, 3, 5, 17. Prime factorization of 65280 in exponential form is:

65280 = 2⁸ × 3¹ × 5¹ × 17¹

Step-2: Prime Factorization of 65288

Prime factors of 65288 are 2, 8161. Prime factorization of 65288 in exponential form is:

65288 = 2³ × 8161¹

Step-3: Factors of 65280

List of positive integer factors of 65280 that divides 65280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 64, 68, 80, 85, 96, 102, 120, 128, 136, 160, 170, 192, 204, 240, 255, 256, 272, 320, 340, 384, 408, 480, 510, 544, 640, 680, 768, 816, 960, 1020, 1088, 1280, 1360, 1632, 1920, 2040, 2176, 2720, 3264, 3840, 4080, 4352, 5440, 6528, 8160, 10880, 13056, 16320, 21760, 32640

Step-4: Factors of 65288

List of positive integer factors of 65288 that divides 65280 without a remainder.

1, 2, 4, 8, 8161, 16322, 32644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65280 and 65288. The biggest common factor number is the GCF number.
So the greatest common factor 65280 and 65288 is 8.

Also check out the Least Common Multiple of 65280 and 65288