What is the Greatest Common Factor of 87189 and 87207?

Greatest common factor (GCF) of 87189 and 87207 is 3.

GCF(87189,87207) = 3

We will now calculate the prime factors of 87189 and 87207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87189 and 87207.

How to find the GCF of 87189 and 87207?

We will first find the prime factorization of 87189 and 87207. After we will calculate the factors of 87189 and 87207 and find the biggest common factor number .

Step-1: Prime Factorization of 87189

Prime factors of 87189 are 3, 29063. Prime factorization of 87189 in exponential form is:

87189 = 3¹ × 29063¹

Step-2: Prime Factorization of 87207

Prime factors of 87207 are 3, 41, 709. Prime factorization of 87207 in exponential form is:

87207 = 3¹ × 41¹ × 709¹

Step-3: Factors of 87189

List of positive integer factors of 87189 that divides 87189 without a remainder.

1, 3, 29063

Step-4: Factors of 87207

List of positive integer factors of 87207 that divides 87189 without a remainder.

1, 3, 41, 123, 709, 2127, 29069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87189 and 87207. The biggest common factor number is the GCF number.
So the greatest common factor 87189 and 87207 is 3.

Also check out the Least Common Multiple of 87189 and 87207