What is the Greatest Common Factor of 87270 and 87288?

Greatest common factor (GCF) of 87270 and 87288 is 6.

GCF(87270,87288) = 6

We will now calculate the prime factors of 87270 and 87288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87270 and 87288.

How to find the GCF of 87270 and 87288?

We will first find the prime factorization of 87270 and 87288. After we will calculate the factors of 87270 and 87288 and find the biggest common factor number .

Step-1: Prime Factorization of 87270

Prime factors of 87270 are 2, 3, 5, 2909. Prime factorization of 87270 in exponential form is:

87270 = 2¹ × 3¹ × 5¹ × 2909¹

Step-2: Prime Factorization of 87288

Prime factors of 87288 are 2, 3, 3637. Prime factorization of 87288 in exponential form is:

87288 = 2³ × 3¹ × 3637¹

Step-3: Factors of 87270

List of positive integer factors of 87270 that divides 87270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2909, 5818, 8727, 14545, 17454, 29090, 43635

Step-4: Factors of 87288

List of positive integer factors of 87288 that divides 87270 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3637, 7274, 10911, 14548, 21822, 29096, 43644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87270 and 87288. The biggest common factor number is the GCF number.
So the greatest common factor 87270 and 87288 is 6.

Also check out the Least Common Multiple of 87270 and 87288