What is the Greatest Common Factor of 72184 and 72191?

Greatest common factor (GCF) of 72184 and 72191 is 7.

GCF(72184,72191) = 7

We will now calculate the prime factors of 72184 and 72191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72184 and 72191.

How to find the GCF of 72184 and 72191?

We will first find the prime factorization of 72184 and 72191. After we will calculate the factors of 72184 and 72191 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 72191

Prime factors of 72191 are 7, 10313. Prime factorization of 72191 in exponential form is:

72191 = 7¹ × 10313¹

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 72191

List of positive integer factors of 72191 that divides 72184 without a remainder.

1, 7, 10313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72184 and 72191. The biggest common factor number is the GCF number.
So the greatest common factor 72184 and 72191 is 7.

Also check out the Least Common Multiple of 72184 and 72191