What is the Greatest Common Factor of 87288 and 87293?

Greatest common factor (GCF) of 87288 and 87293 is 1.

GCF(87288,87293) = 1

We will now calculate the prime factors of 87288 and 87293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87288 and 87293.

How to find the GCF of 87288 and 87293?

We will first find the prime factorization of 87288 and 87293. After we will calculate the factors of 87288 and 87293 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 87293

Prime factors of 87293 are 87293. Prime factorization of 87293 in exponential form is:

87293 = 87293¹

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 87293

List of positive integer factors of 87293 that divides 87288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87288 and 87293. The biggest common factor number is the GCF number.
So the greatest common factor 87288 and 87293 is 1.

Also check out the Least Common Multiple of 87288 and 87293