What is the Greatest Common Factor of 87240 and 87249?

Greatest common factor (GCF) of 87240 and 87249 is 3.

GCF(87240,87249) = 3

We will now calculate the prime factors of 87240 and 87249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87240 and 87249.

How to find the GCF of 87240 and 87249?

We will first find the prime factorization of 87240 and 87249. After we will calculate the factors of 87240 and 87249 and find the biggest common factor number .

Step-1: Prime Factorization of 87240

Prime factors of 87240 are 2, 3, 5, 727. Prime factorization of 87240 in exponential form is:

87240 = 2³ × 3¹ × 5¹ × 727¹

Step-2: Prime Factorization of 87249

Prime factors of 87249 are 3, 127, 229. Prime factorization of 87249 in exponential form is:

87249 = 3¹ × 127¹ × 229¹

Step-3: Factors of 87240

List of positive integer factors of 87240 that divides 87240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 727, 1454, 2181, 2908, 3635, 4362, 5816, 7270, 8724, 10905, 14540, 17448, 21810, 29080, 43620

Step-4: Factors of 87249

List of positive integer factors of 87249 that divides 87240 without a remainder.

1, 3, 127, 229, 381, 687, 29083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87240 and 87249. The biggest common factor number is the GCF number.
So the greatest common factor 87240 and 87249 is 3.

Also check out the Least Common Multiple of 87240 and 87249