What is the Greatest Common Factor of 87066 and 87071?

Greatest common factor (GCF) of 87066 and 87071 is 1.

GCF(87066,87071) = 1

We will now calculate the prime factors of 87066 and 87071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87066 and 87071.

How to find the GCF of 87066 and 87071?

We will first find the prime factorization of 87066 and 87071. After we will calculate the factors of 87066 and 87071 and find the biggest common factor number .

Step-1: Prime Factorization of 87066

Prime factors of 87066 are 2, 3, 7, 691. Prime factorization of 87066 in exponential form is:

87066 = 2¹ × 3² × 7¹ × 691¹

Step-2: Prime Factorization of 87071

Prime factors of 87071 are 87071. Prime factorization of 87071 in exponential form is:

87071 = 87071¹

Step-3: Factors of 87066

List of positive integer factors of 87066 that divides 87066 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 691, 1382, 2073, 4146, 4837, 6219, 9674, 12438, 14511, 29022, 43533

Step-4: Factors of 87071

List of positive integer factors of 87071 that divides 87066 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87066 and 87071. The biggest common factor number is the GCF number.
So the greatest common factor 87066 and 87071 is 1.

Also check out the Least Common Multiple of 87066 and 87071