What is the Greatest Common Factor of 89865 and 89871?

Greatest common factor (GCF) of 89865 and 89871 is 3.

GCF(89865,89871) = 3

We will now calculate the prime factors of 89865 and 89871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89865 and 89871.

How to find the GCF of 89865 and 89871?

We will first find the prime factorization of 89865 and 89871. After we will calculate the factors of 89865 and 89871 and find the biggest common factor number .

Step-1: Prime Factorization of 89865

Prime factors of 89865 are 3, 5, 1997. Prime factorization of 89865 in exponential form is:

89865 = 3² × 5¹ × 1997¹

Step-2: Prime Factorization of 89871

Prime factors of 89871 are 3, 29, 1033. Prime factorization of 89871 in exponential form is:

89871 = 3¹ × 29¹ × 1033¹

Step-3: Factors of 89865

List of positive integer factors of 89865 that divides 89865 without a remainder.

1, 3, 5, 9, 15, 45, 1997, 5991, 9985, 17973, 29955

Step-4: Factors of 89871

List of positive integer factors of 89871 that divides 89865 without a remainder.

1, 3, 29, 87, 1033, 3099, 29957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89865 and 89871. The biggest common factor number is the GCF number.
So the greatest common factor 89865 and 89871 is 3.

Also check out the Least Common Multiple of 89865 and 89871