What is the Greatest Common Factor of 87531 and 87543?

Greatest common factor (GCF) of 87531 and 87543 is 3.

GCF(87531,87543) = 3

We will now calculate the prime factors of 87531 and 87543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87531 and 87543.

How to find the GCF of 87531 and 87543?

We will first find the prime factorization of 87531 and 87543. After we will calculate the factors of 87531 and 87543 and find the biggest common factor number .

Step-1: Prime Factorization of 87531

Prime factors of 87531 are 3, 163, 179. Prime factorization of 87531 in exponential form is:

87531 = 3¹ × 163¹ × 179¹

Step-2: Prime Factorization of 87543

Prime factors of 87543 are 3, 71, 137. Prime factorization of 87543 in exponential form is:

87543 = 3² × 71¹ × 137¹

Step-3: Factors of 87531

List of positive integer factors of 87531 that divides 87531 without a remainder.

1, 3, 163, 179, 489, 537, 29177

Step-4: Factors of 87543

List of positive integer factors of 87543 that divides 87531 without a remainder.

1, 3, 9, 71, 137, 213, 411, 639, 1233, 9727, 29181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87531 and 87543. The biggest common factor number is the GCF number.
So the greatest common factor 87531 and 87543 is 3.

Also check out the Least Common Multiple of 87531 and 87543