What is the Greatest Common Factor of 65280 and 65295?

Greatest common factor (GCF) of 65280 and 65295 is 15.

GCF(65280,65295) = 15

We will now calculate the prime factors of 65280 and 65295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65280 and 65295.

How to find the GCF of 65280 and 65295?

We will first find the prime factorization of 65280 and 65295. After we will calculate the factors of 65280 and 65295 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 65295

Prime factors of 65295 are 3, 5, 1451. Prime factorization of 65295 in exponential form is:

65295 = 3² × 5¹ × 1451¹

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 65295

List of positive integer factors of 65295 that divides 65280 without a remainder.

1, 3, 5, 9, 15, 45, 1451, 4353, 7255, 13059, 21765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65280 and 65295. The biggest common factor number is the GCF number.
So the greatest common factor 65280 and 65295 is 15.

Also check out the Least Common Multiple of 65280 and 65295