What is the Greatest Common Factor of 87129 and 87133?

Greatest common factor (GCF) of 87129 and 87133 is 1.

GCF(87129,87133) = 1

We will now calculate the prime factors of 87129 and 87133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87129 and 87133.

How to find the GCF of 87129 and 87133?

We will first find the prime factorization of 87129 and 87133. After we will calculate the factors of 87129 and 87133 and find the biggest common factor number .

Step-1: Prime Factorization of 87129

Prime factors of 87129 are 3, 7, 461. Prime factorization of 87129 in exponential form is:

87129 = 3³ × 7¹ × 461¹

Step-2: Prime Factorization of 87133

Prime factors of 87133 are 87133. Prime factorization of 87133 in exponential form is:

87133 = 87133¹

Step-3: Factors of 87129

List of positive integer factors of 87129 that divides 87129 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 461, 1383, 3227, 4149, 9681, 12447, 29043

Step-4: Factors of 87133

List of positive integer factors of 87133 that divides 87129 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87129 and 87133. The biggest common factor number is the GCF number.
So the greatest common factor 87129 and 87133 is 1.

Also check out the Least Common Multiple of 87129 and 87133