What is the Greatest Common Factor of 87288 and 87306?

Greatest common factor (GCF) of 87288 and 87306 is 6.

GCF(87288,87306) = 6

We will now calculate the prime factors of 87288 and 87306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87288 and 87306.

How to find the GCF of 87288 and 87306?

We will first find the prime factorization of 87288 and 87306. After we will calculate the factors of 87288 and 87306 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87306

Prime factors of 87306 are 2, 3, 14551. Prime factorization of 87306 in exponential form is:

87306 = 2¹ × 3¹ × 14551¹

Step-3: Factors of 87288

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

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

Step-4: Factors of 87306

List of positive integer factors of 87306 that divides 87288 without a remainder.

1, 2, 3, 6, 14551, 29102, 43653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87288 and 87306. The biggest common factor number is the GCF number.
So the greatest common factor 87288 and 87306 is 6.

Also check out the Least Common Multiple of 87288 and 87306