What is the Greatest Common Factor of 65280 and 65300?

Greatest common factor (GCF) of 65280 and 65300 is 20.

GCF(65280,65300) = 20

We will now calculate the prime factors of 65280 and 65300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65280 and 65300.

How to find the GCF of 65280 and 65300?

We will first find the prime factorization of 65280 and 65300. After we will calculate the factors of 65280 and 65300 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 65300

Prime factors of 65300 are 2, 5, 653. Prime factorization of 65300 in exponential form is:

65300 = 2² × 5² × 653¹

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 65300

List of positive integer factors of 65300 that divides 65280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 653, 1306, 2612, 3265, 6530, 13060, 16325, 32650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65280 and 65300. The biggest common factor number is the GCF number.
So the greatest common factor 65280 and 65300 is 20.

Also check out the Least Common Multiple of 65280 and 65300