What is the Greatest Common Factor of 87288 and 87296?

Greatest common factor (GCF) of 87288 and 87296 is 8.

GCF(87288,87296) = 8

We will now calculate the prime factors of 87288 and 87296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87288 and 87296.

How to find the GCF of 87288 and 87296?

We will first find the prime factorization of 87288 and 87296. After we will calculate the factors of 87288 and 87296 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 87296

Prime factors of 87296 are 2, 11, 31. Prime factorization of 87296 in exponential form is:

87296 = 2⁸ × 11¹ × 31¹

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 87296

List of positive integer factors of 87296 that divides 87288 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 256, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 2816, 3968, 5456, 7936, 10912, 21824, 43648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87288 and 87296. The biggest common factor number is the GCF number.
So the greatest common factor 87288 and 87296 is 8.

Also check out the Least Common Multiple of 87288 and 87296