What is the Greatest Common Factor of 87873 and 87879?

Greatest common factor (GCF) of 87873 and 87879 is 3.

GCF(87873,87879) = 3

We will now calculate the prime factors of 87873 and 87879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87873 and 87879.

How to find the GCF of 87873 and 87879?

We will first find the prime factorization of 87873 and 87879. After we will calculate the factors of 87873 and 87879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87879

Prime factors of 87879 are 3, 11, 2663. Prime factorization of 87879 in exponential form is:

87879 = 3¹ × 11¹ × 2663¹

Step-3: Factors of 87873

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

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

Step-4: Factors of 87879

List of positive integer factors of 87879 that divides 87873 without a remainder.

1, 3, 11, 33, 2663, 7989, 29293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87873 and 87879. The biggest common factor number is the GCF number.
So the greatest common factor 87873 and 87879 is 3.

Also check out the Least Common Multiple of 87873 and 87879