What is the Greatest Common Factor of 62288 and 62305?

Greatest common factor (GCF) of 62288 and 62305 is 17.

GCF(62288,62305) = 17

We will now calculate the prime factors of 62288 and 62305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62288 and 62305.

How to find the GCF of 62288 and 62305?

We will first find the prime factorization of 62288 and 62305. After we will calculate the factors of 62288 and 62305 and find the biggest common factor number .

Step-1: Prime Factorization of 62288

Prime factors of 62288 are 2, 17, 229. Prime factorization of 62288 in exponential form is:

62288 = 2⁴ × 17¹ × 229¹

Step-2: Prime Factorization of 62305

Prime factors of 62305 are 5, 17, 733. Prime factorization of 62305 in exponential form is:

62305 = 5¹ × 17¹ × 733¹

Step-3: Factors of 62288

List of positive integer factors of 62288 that divides 62288 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 229, 272, 458, 916, 1832, 3664, 3893, 7786, 15572, 31144

Step-4: Factors of 62305

List of positive integer factors of 62305 that divides 62288 without a remainder.

1, 5, 17, 85, 733, 3665, 12461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62288 and 62305. The biggest common factor number is the GCF number.
So the greatest common factor 62288 and 62305 is 17.

Also check out the Least Common Multiple of 62288 and 62305