What is the Greatest Common Factor of 87858 and 87873?

Greatest common factor (GCF) of 87858 and 87873 is 3.

GCF(87858,87873) = 3

We will now calculate the prime factors of 87858 and 87873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87858 and 87873.

How to find the GCF of 87858 and 87873?

We will first find the prime factorization of 87858 and 87873. After we will calculate the factors of 87858 and 87873 and find the biggest common factor number .

Step-1: Prime Factorization of 87858

Prime factors of 87858 are 2, 3, 1627. Prime factorization of 87858 in exponential form is:

87858 = 2¹ × 3³ × 1627¹

Step-2: Prime Factorization of 87873

Prime factors of 87873 are 3, 17, 1723. Prime factorization of 87873 in exponential form is:

87873 = 3¹ × 17¹ × 1723¹

Step-3: Factors of 87858

List of positive integer factors of 87858 that divides 87858 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1627, 3254, 4881, 9762, 14643, 29286, 43929

Step-4: Factors of 87873

List of positive integer factors of 87873 that divides 87858 without a remainder.

1, 3, 17, 51, 1723, 5169, 29291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87858 and 87873. The biggest common factor number is the GCF number.
So the greatest common factor 87858 and 87873 is 3.

Also check out the Least Common Multiple of 87858 and 87873