What is the Greatest Common Factor of 87184 and 87201?

Greatest common factor (GCF) of 87184 and 87201 is 1.

GCF(87184,87201) = 1

We will now calculate the prime factors of 87184 and 87201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87184 and 87201.

How to find the GCF of 87184 and 87201?

We will first find the prime factorization of 87184 and 87201. After we will calculate the factors of 87184 and 87201 and find the biggest common factor number .

Step-1: Prime Factorization of 87184

Prime factors of 87184 are 2, 5449. Prime factorization of 87184 in exponential form is:

87184 = 2⁴ × 5449¹

Step-2: Prime Factorization of 87201

Prime factors of 87201 are 3, 9689. Prime factorization of 87201 in exponential form is:

87201 = 3² × 9689¹

Step-3: Factors of 87184

List of positive integer factors of 87184 that divides 87184 without a remainder.

1, 2, 4, 8, 16, 5449, 10898, 21796, 43592

Step-4: Factors of 87201

List of positive integer factors of 87201 that divides 87184 without a remainder.

1, 3, 9, 9689, 29067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87184 and 87201. The biggest common factor number is the GCF number.
So the greatest common factor 87184 and 87201 is 1.

Also check out the Least Common Multiple of 87184 and 87201