What is the Greatest Common Factor of 65300 and 65305?

Greatest common factor (GCF) of 65300 and 65305 is 5.

GCF(65300,65305) = 5

We will now calculate the prime factors of 65300 and 65305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65300 and 65305.

How to find the GCF of 65300 and 65305?

We will first find the prime factorization of 65300 and 65305. After we will calculate the factors of 65300 and 65305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65305

Prime factors of 65305 are 5, 37, 353. Prime factorization of 65305 in exponential form is:

65305 = 5¹ × 37¹ × 353¹

Step-3: Factors of 65300

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

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

Step-4: Factors of 65305

List of positive integer factors of 65305 that divides 65300 without a remainder.

1, 5, 37, 185, 353, 1765, 13061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65300 and 65305. The biggest common factor number is the GCF number.
So the greatest common factor 65300 and 65305 is 5.

Also check out the Least Common Multiple of 65300 and 65305