What is the Greatest Common Factor of 80853 and 80865?

Greatest common factor (GCF) of 80853 and 80865 is 3.

GCF(80853,80865) = 3

We will now calculate the prime factors of 80853 and 80865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80853 and 80865.

How to find the GCF of 80853 and 80865?

We will first find the prime factorization of 80853 and 80865. After we will calculate the factors of 80853 and 80865 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 80865

Prime factors of 80865 are 3, 5, 599. Prime factorization of 80865 in exponential form is:

80865 = 3³ × 5¹ × 599¹

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 80865

List of positive integer factors of 80865 that divides 80853 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 599, 1797, 2995, 5391, 8985, 16173, 26955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80853 and 80865. The biggest common factor number is the GCF number.
So the greatest common factor 80853 and 80865 is 3.

Also check out the Least Common Multiple of 80853 and 80865