What is the Greatest Common Factor of 87269 and 87288?

Greatest common factor (GCF) of 87269 and 87288 is 1.

GCF(87269,87288) = 1

We will now calculate the prime factors of 87269 and 87288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87269 and 87288.

How to find the GCF of 87269 and 87288?

We will first find the prime factorization of 87269 and 87288. After we will calculate the factors of 87269 and 87288 and find the biggest common factor number .

Step-1: Prime Factorization of 87269

Prime factors of 87269 are 7, 13, 137. Prime factorization of 87269 in exponential form is:

87269 = 7² × 13¹ × 137¹

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 87269

List of positive integer factors of 87269 that divides 87269 without a remainder.

1, 7, 13, 49, 91, 137, 637, 959, 1781, 6713, 12467

Step-4: Factors of 87288

List of positive integer factors of 87288 that divides 87269 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 87269 and 87288. The biggest common factor number is the GCF number.
So the greatest common factor 87269 and 87288 is 1.

Also check out the Least Common Multiple of 87269 and 87288