What is the Greatest Common Factor of 65280 and 65291?

Greatest common factor (GCF) of 65280 and 65291 is 1.

GCF(65280,65291) = 1

We will now calculate the prime factors of 65280 and 65291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65280 and 65291.

How to find the GCF of 65280 and 65291?

We will first find the prime factorization of 65280 and 65291. After we will calculate the factors of 65280 and 65291 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 65291

Prime factors of 65291 are 109, 599. Prime factorization of 65291 in exponential form is:

65291 = 109¹ × 599¹

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 65291

List of positive integer factors of 65291 that divides 65280 without a remainder.

1, 109, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65280 and 65291. The biggest common factor number is the GCF number.
So the greatest common factor 65280 and 65291 is 1.

Also check out the Least Common Multiple of 65280 and 65291