What is the Greatest Common Factor of 62271 and 62288?

Greatest common factor (GCF) of 62271 and 62288 is 17.

GCF(62271,62288) = 17

We will now calculate the prime factors of 62271 and 62288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62271 and 62288.

How to find the GCF of 62271 and 62288?

We will first find the prime factorization of 62271 and 62288. After we will calculate the factors of 62271 and 62288 and find the biggest common factor number .

Step-1: Prime Factorization of 62271

Prime factors of 62271 are 3, 11, 17, 37. Prime factorization of 62271 in exponential form is:

62271 = 3² × 11¹ × 17¹ × 37¹

Step-2: 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-3: Factors of 62271

List of positive integer factors of 62271 that divides 62271 without a remainder.

1, 3, 9, 11, 17, 33, 37, 51, 99, 111, 153, 187, 333, 407, 561, 629, 1221, 1683, 1887, 3663, 5661, 6919, 20757

Step-4: Factors of 62288

List of positive integer factors of 62288 that divides 62271 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62271 and 62288. The biggest common factor number is the GCF number.
So the greatest common factor 62271 and 62288 is 17.

Also check out the Least Common Multiple of 62271 and 62288