What is the Greatest Common Factor of 87129 and 87141?

Greatest common factor (GCF) of 87129 and 87141 is 3.

GCF(87129,87141) = 3

We will now calculate the prime factors of 87129 and 87141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87129 and 87141.

How to find the GCF of 87129 and 87141?

We will first find the prime factorization of 87129 and 87141. After we will calculate the factors of 87129 and 87141 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 87141

Prime factors of 87141 are 3, 31, 937. Prime factorization of 87141 in exponential form is:

87141 = 3¹ × 31¹ × 937¹

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 87141

List of positive integer factors of 87141 that divides 87129 without a remainder.

1, 3, 31, 93, 937, 2811, 29047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87129 and 87141. The biggest common factor number is the GCF number.
So the greatest common factor 87129 and 87141 is 3.

Also check out the Least Common Multiple of 87129 and 87141