What is the Greatest Common Factor of 80895 and 80901?

Greatest common factor (GCF) of 80895 and 80901 is 3.

GCF(80895,80901) = 3

We will now calculate the prime factors of 80895 and 80901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80895 and 80901.

How to find the GCF of 80895 and 80901?

We will first find the prime factorization of 80895 and 80901. After we will calculate the factors of 80895 and 80901 and find the biggest common factor number .

Step-1: Prime Factorization of 80895

Prime factors of 80895 are 3, 5, 5393. Prime factorization of 80895 in exponential form is:

80895 = 3¹ × 5¹ × 5393¹

Step-2: Prime Factorization of 80901

Prime factors of 80901 are 3, 89, 101. Prime factorization of 80901 in exponential form is:

80901 = 3² × 89¹ × 101¹

Step-3: Factors of 80895

List of positive integer factors of 80895 that divides 80895 without a remainder.

1, 3, 5, 15, 5393, 16179, 26965

Step-4: Factors of 80901

List of positive integer factors of 80901 that divides 80895 without a remainder.

1, 3, 9, 89, 101, 267, 303, 801, 909, 8989, 26967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80895 and 80901. The biggest common factor number is the GCF number.
So the greatest common factor 80895 and 80901 is 3.

Also check out the Least Common Multiple of 80895 and 80901