What is the Greatest Common Factor of 82953 and 82966?

Greatest common factor (GCF) of 82953 and 82966 is 13.

GCF(82953,82966) = 13

We will now calculate the prime factors of 82953 and 82966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82953 and 82966.

How to find the GCF of 82953 and 82966?

We will first find the prime factorization of 82953 and 82966. After we will calculate the factors of 82953 and 82966 and find the biggest common factor number .

Step-1: Prime Factorization of 82953

Prime factors of 82953 are 3, 13, 709. Prime factorization of 82953 in exponential form is:

82953 = 3² × 13¹ × 709¹

Step-2: Prime Factorization of 82966

Prime factors of 82966 are 2, 13, 3191. Prime factorization of 82966 in exponential form is:

82966 = 2¹ × 13¹ × 3191¹

Step-3: Factors of 82953

List of positive integer factors of 82953 that divides 82953 without a remainder.

1, 3, 9, 13, 39, 117, 709, 2127, 6381, 9217, 27651

Step-4: Factors of 82966

List of positive integer factors of 82966 that divides 82953 without a remainder.

1, 2, 13, 26, 3191, 6382, 41483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82953 and 82966. The biggest common factor number is the GCF number.
So the greatest common factor 82953 and 82966 is 13.

Also check out the Least Common Multiple of 82953 and 82966