What is the Greatest Common Factor of 30170 and 30184?

Greatest common factor (GCF) of 30170 and 30184 is 14.

GCF(30170,30184) = 14

We will now calculate the prime factors of 30170 and 30184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30170 and 30184.

How to find the GCF of 30170 and 30184?

We will first find the prime factorization of 30170 and 30184. After we will calculate the factors of 30170 and 30184 and find the biggest common factor number .

Step-1: Prime Factorization of 30170

Prime factors of 30170 are 2, 5, 7, 431. Prime factorization of 30170 in exponential form is:

30170 = 2¹ × 5¹ × 7¹ × 431¹

Step-2: Prime Factorization of 30184

Prime factors of 30184 are 2, 7, 11. Prime factorization of 30184 in exponential form is:

30184 = 2³ × 7³ × 11¹

Step-3: Factors of 30170

List of positive integer factors of 30170 that divides 30170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 431, 862, 2155, 3017, 4310, 6034, 15085

Step-4: Factors of 30184

List of positive integer factors of 30184 that divides 30170 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 343, 392, 539, 616, 686, 1078, 1372, 2156, 2744, 3773, 4312, 7546, 15092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30170 and 30184. The biggest common factor number is the GCF number.
So the greatest common factor 30170 and 30184 is 14.

Also check out the Least Common Multiple of 30170 and 30184