What is the Greatest Common Factor of 80959 and 80971?

Greatest common factor (GCF) of 80959 and 80971 is 1.

GCF(80959,80971) = 1

We will now calculate the prime factors of 80959 and 80971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80959 and 80971.

How to find the GCF of 80959 and 80971?

We will first find the prime factorization of 80959 and 80971. After we will calculate the factors of 80959 and 80971 and find the biggest common factor number .

Step-1: Prime Factorization of 80959

Prime factors of 80959 are 19, 4261. Prime factorization of 80959 in exponential form is:

80959 = 19¹ × 4261¹

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 80959

List of positive integer factors of 80959 that divides 80959 without a remainder.

1, 19, 4261

Step-4: Factors of 80971

List of positive integer factors of 80971 that divides 80959 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80959 and 80971. The biggest common factor number is the GCF number.
So the greatest common factor 80959 and 80971 is 1.

Also check out the Least Common Multiple of 80959 and 80971