What is the Greatest Common Factor of 87867 and 87882?

Greatest common factor (GCF) of 87867 and 87882 is 3.

GCF(87867,87882) = 3

We will now calculate the prime factors of 87867 and 87882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87867 and 87882.

How to find the GCF of 87867 and 87882?

We will first find the prime factorization of 87867 and 87882. After we will calculate the factors of 87867 and 87882 and find the biggest common factor number .

Step-1: Prime Factorization of 87867

Prime factors of 87867 are 3, 13, 751. Prime factorization of 87867 in exponential form is:

87867 = 3² × 13¹ × 751¹

Step-2: Prime Factorization of 87882

Prime factors of 87882 are 2, 3, 97, 151. Prime factorization of 87882 in exponential form is:

87882 = 2¹ × 3¹ × 97¹ × 151¹

Step-3: Factors of 87867

List of positive integer factors of 87867 that divides 87867 without a remainder.

1, 3, 9, 13, 39, 117, 751, 2253, 6759, 9763, 29289

Step-4: Factors of 87882

List of positive integer factors of 87882 that divides 87867 without a remainder.

1, 2, 3, 6, 97, 151, 194, 291, 302, 453, 582, 906, 14647, 29294, 43941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87867 and 87882. The biggest common factor number is the GCF number.
So the greatest common factor 87867 and 87882 is 3.

Also check out the Least Common Multiple of 87867 and 87882