What is the Greatest Common Factor of 62259 and 62271?

Greatest common factor (GCF) of 62259 and 62271 is 3.

GCF(62259,62271) = 3

We will now calculate the prime factors of 62259 and 62271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62259 and 62271.

How to find the GCF of 62259 and 62271?

We will first find the prime factorization of 62259 and 62271. After we will calculate the factors of 62259 and 62271 and find the biggest common factor number .

Step-1: Prime Factorization of 62259

Prime factors of 62259 are 3, 20753. Prime factorization of 62259 in exponential form is:

62259 = 3¹ × 20753¹

Step-2: 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-3: Factors of 62259

List of positive integer factors of 62259 that divides 62259 without a remainder.

1, 3, 20753

Step-4: Factors of 62271

List of positive integer factors of 62271 that divides 62259 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62259 and 62271. The biggest common factor number is the GCF number.
So the greatest common factor 62259 and 62271 is 3.

Also check out the Least Common Multiple of 62259 and 62271