What is the Greatest Common Factor of 80853 and 80871?

Greatest common factor (GCF) of 80853 and 80871 is 3.

GCF(80853,80871) = 3

We will now calculate the prime factors of 80853 and 80871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80853 and 80871.

How to find the GCF of 80853 and 80871?

We will first find the prime factorization of 80853 and 80871. After we will calculate the factors of 80853 and 80871 and find the biggest common factor number .

Step-1: Prime Factorization of 80853

Prime factors of 80853 are 3, 26951. Prime factorization of 80853 in exponential form is:

80853 = 3¹ × 26951¹

Step-2: Prime Factorization of 80871

Prime factors of 80871 are 3, 7, 3851. Prime factorization of 80871 in exponential form is:

80871 = 3¹ × 7¹ × 3851¹

Step-3: Factors of 80853

List of positive integer factors of 80853 that divides 80853 without a remainder.

1, 3, 26951

Step-4: Factors of 80871

List of positive integer factors of 80871 that divides 80853 without a remainder.

1, 3, 7, 21, 3851, 11553, 26957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80853 and 80871. The biggest common factor number is the GCF number.
So the greatest common factor 80853 and 80871 is 3.

Also check out the Least Common Multiple of 80853 and 80871