What is the Greatest Common Factor of 62866 and 62872?

Greatest common factor (GCF) of 62866 and 62872 is 2.

GCF(62866,62872) = 2

We will now calculate the prime factors of 62866 and 62872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62866 and 62872.

How to find the GCF of 62866 and 62872?

We will first find the prime factorization of 62866 and 62872. After we will calculate the factors of 62866 and 62872 and find the biggest common factor number .

Step-1: Prime Factorization of 62866

Prime factors of 62866 are 2, 17, 43. Prime factorization of 62866 in exponential form is:

62866 = 2¹ × 17¹ × 43²

Step-2: Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 2³ × 29¹ × 271¹

Step-3: Factors of 62866

List of positive integer factors of 62866 that divides 62866 without a remainder.

1, 2, 17, 34, 43, 86, 731, 1462, 1849, 3698, 31433

Step-4: Factors of 62872

List of positive integer factors of 62872 that divides 62866 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 271, 542, 1084, 2168, 7859, 15718, 31436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62866 and 62872. The biggest common factor number is the GCF number.
So the greatest common factor 62866 and 62872 is 2.

Also check out the Least Common Multiple of 62866 and 62872