What is the Greatest Common Factor of 19174 and 19188?

Greatest common factor (GCF) of 19174 and 19188 is 2.

GCF(19174,19188) = 2

We will now calculate the prime factors of 19174 and 19188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19174 and 19188.

How to find the GCF of 19174 and 19188?

We will first find the prime factorization of 19174 and 19188. After we will calculate the factors of 19174 and 19188 and find the biggest common factor number .

Step-1: Prime Factorization of 19174

Prime factors of 19174 are 2, 9587. Prime factorization of 19174 in exponential form is:

19174 = 2¹ × 9587¹

Step-2: Prime Factorization of 19188

Prime factors of 19188 are 2, 3, 13, 41. Prime factorization of 19188 in exponential form is:

19188 = 2² × 3² × 13¹ × 41¹

Step-3: Factors of 19174

List of positive integer factors of 19174 that divides 19174 without a remainder.

1, 2, 9587

Step-4: Factors of 19188

List of positive integer factors of 19188 that divides 19174 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 41, 52, 78, 82, 117, 123, 156, 164, 234, 246, 369, 468, 492, 533, 738, 1066, 1476, 1599, 2132, 3198, 4797, 6396, 9594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19174 and 19188. The biggest common factor number is the GCF number.
So the greatest common factor 19174 and 19188 is 2.

Also check out the Least Common Multiple of 19174 and 19188