What is the Greatest Common Factor of 62849 and 62866?

Greatest common factor (GCF) of 62849 and 62866 is 17.

GCF(62849,62866) = 17

We will now calculate the prime factors of 62849 and 62866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62849 and 62866.

How to find the GCF of 62849 and 62866?

We will first find the prime factorization of 62849 and 62866. After we will calculate the factors of 62849 and 62866 and find the biggest common factor number .

Step-1: Prime Factorization of 62849

Prime factors of 62849 are 17, 3697. Prime factorization of 62849 in exponential form is:

62849 = 17¹ × 3697¹

Step-2: 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-3: Factors of 62849

List of positive integer factors of 62849 that divides 62849 without a remainder.

1, 17, 3697

Step-4: Factors of 62866

List of positive integer factors of 62866 that divides 62849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62849 and 62866. The biggest common factor number is the GCF number.
So the greatest common factor 62849 and 62866 is 17.

Also check out the Least Common Multiple of 62849 and 62866