What is the Greatest Common Factor of 87240 and 87253?

Greatest common factor (GCF) of 87240 and 87253 is 1.

GCF(87240,87253) = 1

We will now calculate the prime factors of 87240 and 87253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87240 and 87253.

How to find the GCF of 87240 and 87253?

We will first find the prime factorization of 87240 and 87253. After we will calculate the factors of 87240 and 87253 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 87253

Prime factors of 87253 are 87253. Prime factorization of 87253 in exponential form is:

87253 = 87253¹

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 87253

List of positive integer factors of 87253 that divides 87240 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87240 and 87253. The biggest common factor number is the GCF number.
So the greatest common factor 87240 and 87253 is 1.

Also check out the Least Common Multiple of 87240 and 87253