What is the Greatest Common Factor of 80966 and 80971?

Greatest common factor (GCF) of 80966 and 80971 is 1.

GCF(80966,80971) = 1

We will now calculate the prime factors of 80966 and 80971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80966 and 80971.

How to find the GCF of 80966 and 80971?

We will first find the prime factorization of 80966 and 80971. After we will calculate the factors of 80966 and 80971 and find the biggest common factor number .

Step-1: Prime Factorization of 80966

Prime factors of 80966 are 2, 40483. Prime factorization of 80966 in exponential form is:

80966 = 2¹ × 40483¹

Step-2: Prime Factorization of 80971

Prime factors of 80971 are 11, 17, 433. Prime factorization of 80971 in exponential form is:

80971 = 11¹ × 17¹ × 433¹

Step-3: Factors of 80966

List of positive integer factors of 80966 that divides 80966 without a remainder.

1, 2, 40483

Step-4: Factors of 80971

List of positive integer factors of 80971 that divides 80966 without a remainder.

1, 11, 17, 187, 433, 4763, 7361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80966 and 80971. The biggest common factor number is the GCF number.
So the greatest common factor 80966 and 80971 is 1.

Also check out the Least Common Multiple of 80966 and 80971