What is the Greatest Common Factor of 87184 and 87204?

Greatest common factor (GCF) of 87184 and 87204 is 4.

GCF(87184,87204) = 4

We will now calculate the prime factors of 87184 and 87204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87184 and 87204.

How to find the GCF of 87184 and 87204?

We will first find the prime factorization of 87184 and 87204. After we will calculate the factors of 87184 and 87204 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 87204

Prime factors of 87204 are 2, 3, 13, 43. Prime factorization of 87204 in exponential form is:

87204 = 2² × 3¹ × 13² × 43¹

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 87204

List of positive integer factors of 87204 that divides 87184 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 169, 172, 258, 338, 507, 516, 559, 676, 1014, 1118, 1677, 2028, 2236, 3354, 6708, 7267, 14534, 21801, 29068, 43602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87184 and 87204. The biggest common factor number is the GCF number.
So the greatest common factor 87184 and 87204 is 4.

Also check out the Least Common Multiple of 87184 and 87204