What is the Greatest Common Factor of 72170 and 72184?

Greatest common factor (GCF) of 72170 and 72184 is 14.

GCF(72170,72184) = 14

We will now calculate the prime factors of 72170 and 72184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72170 and 72184.

How to find the GCF of 72170 and 72184?

We will first find the prime factorization of 72170 and 72184. After we will calculate the factors of 72170 and 72184 and find the biggest common factor number .

Step-1: Prime Factorization of 72170

Prime factors of 72170 are 2, 5, 7, 1031. Prime factorization of 72170 in exponential form is:

72170 = 2¹ × 5¹ × 7¹ × 1031¹

Step-2: 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-3: Factors of 72170

List of positive integer factors of 72170 that divides 72170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1031, 2062, 5155, 7217, 10310, 14434, 36085

Step-4: Factors of 72184

List of positive integer factors of 72184 that divides 72170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72170 and 72184. The biggest common factor number is the GCF number.
So the greatest common factor 72170 and 72184 is 14.

Also check out the Least Common Multiple of 72170 and 72184