What is the Greatest Common Factor of 82966 and 82975?

Greatest common factor (GCF) of 82966 and 82975 is 1.

GCF(82966,82975) = 1

We will now calculate the prime factors of 82966 and 82975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82966 and 82975.

How to find the GCF of 82966 and 82975?

We will first find the prime factorization of 82966 and 82975. After we will calculate the factors of 82966 and 82975 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82975

Prime factors of 82975 are 5, 3319. Prime factorization of 82975 in exponential form is:

82975 = 5² × 3319¹

Step-3: Factors of 82966

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

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

Step-4: Factors of 82975

List of positive integer factors of 82975 that divides 82966 without a remainder.

1, 5, 25, 3319, 16595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82966 and 82975. The biggest common factor number is the GCF number.
So the greatest common factor 82966 and 82975 is 1.

Also check out the Least Common Multiple of 82966 and 82975