What is the Greatest Common Factor of 75174 and 75191?

Greatest common factor (GCF) of 75174 and 75191 is 17.

GCF(75174,75191) = 17

We will now calculate the prime factors of 75174 and 75191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75174 and 75191.

How to find the GCF of 75174 and 75191?

We will first find the prime factorization of 75174 and 75191. After we will calculate the factors of 75174 and 75191 and find the biggest common factor number .

Step-1: Prime Factorization of 75174

Prime factors of 75174 are 2, 3, 11, 17, 67. Prime factorization of 75174 in exponential form is:

75174 = 2¹ × 3¹ × 11¹ × 17¹ × 67¹

Step-2: Prime Factorization of 75191

Prime factors of 75191 are 17, 4423. Prime factorization of 75191 in exponential form is:

75191 = 17¹ × 4423¹

Step-3: Factors of 75174

List of positive integer factors of 75174 that divides 75174 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 67, 102, 134, 187, 201, 374, 402, 561, 737, 1122, 1139, 1474, 2211, 2278, 3417, 4422, 6834, 12529, 25058, 37587

Step-4: Factors of 75191

List of positive integer factors of 75191 that divides 75174 without a remainder.

1, 17, 4423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75174 and 75191. The biggest common factor number is the GCF number.
So the greatest common factor 75174 and 75191 is 17.

Also check out the Least Common Multiple of 75174 and 75191