What is the Greatest Common Factor of 87135 and 87144?

Greatest common factor (GCF) of 87135 and 87144 is 3.

GCF(87135,87144) = 3

We will now calculate the prime factors of 87135 and 87144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87135 and 87144.

How to find the GCF of 87135 and 87144?

We will first find the prime factorization of 87135 and 87144. After we will calculate the factors of 87135 and 87144 and find the biggest common factor number .

Step-1: Prime Factorization of 87135

Prime factors of 87135 are 3, 5, 37, 157. Prime factorization of 87135 in exponential form is:

87135 = 3¹ × 5¹ × 37¹ × 157¹

Step-2: Prime Factorization of 87144

Prime factors of 87144 are 2, 3, 3631. Prime factorization of 87144 in exponential form is:

87144 = 2³ × 3¹ × 3631¹

Step-3: Factors of 87135

List of positive integer factors of 87135 that divides 87135 without a remainder.

1, 3, 5, 15, 37, 111, 157, 185, 471, 555, 785, 2355, 5809, 17427, 29045

Step-4: Factors of 87144

List of positive integer factors of 87144 that divides 87135 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87135 and 87144. The biggest common factor number is the GCF number.
So the greatest common factor 87135 and 87144 is 3.

Also check out the Least Common Multiple of 87135 and 87144