What is the Greatest Common Factor of 72184 and 72204?

Greatest common factor (GCF) of 72184 and 72204 is 4.

GCF(72184,72204) = 4

We will now calculate the prime factors of 72184 and 72204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72184 and 72204.

How to find the GCF of 72184 and 72204?

We will first find the prime factorization of 72184 and 72204. After we will calculate the factors of 72184 and 72204 and find the biggest common factor number .

Step-1: Prime Factorization of 72184

Prime factors of 72184 are 2, 7, 1289. Prime factorization of 72184 in exponential form is:

72184 = 2³ × 7¹ × 1289¹

Step-2: Prime Factorization of 72204

Prime factors of 72204 are 2, 3, 11, 547. Prime factorization of 72204 in exponential form is:

72204 = 2² × 3¹ × 11¹ × 547¹

Step-3: Factors of 72184

List of positive integer factors of 72184 that divides 72184 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1289, 2578, 5156, 9023, 10312, 18046, 36092

Step-4: Factors of 72204

List of positive integer factors of 72204 that divides 72184 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 547, 1094, 1641, 2188, 3282, 6017, 6564, 12034, 18051, 24068, 36102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72184 and 72204. The biggest common factor number is the GCF number.
So the greatest common factor 72184 and 72204 is 4.

Also check out the Least Common Multiple of 72184 and 72204