What is the Greatest Common Factor of 87184 and 87203?

Greatest common factor (GCF) of 87184 and 87203 is 1.

GCF(87184,87203) = 1

We will now calculate the prime factors of 87184 and 87203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87184 and 87203.

How to find the GCF of 87184 and 87203?

We will first find the prime factorization of 87184 and 87203. After we will calculate the factors of 87184 and 87203 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 87203

Prime factors of 87203 are 29, 31, 97. Prime factorization of 87203 in exponential form is:

87203 = 29¹ × 31¹ × 97¹

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 87203

List of positive integer factors of 87203 that divides 87184 without a remainder.

1, 29, 31, 97, 899, 2813, 3007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87184 and 87203. The biggest common factor number is the GCF number.
So the greatest common factor 87184 and 87203 is 1.

Also check out the Least Common Multiple of 87184 and 87203