What is the Greatest Common Factor of 75163 and 75174?

Greatest common factor (GCF) of 75163 and 75174 is 11.

GCF(75163,75174) = 11

We will now calculate the prime factors of 75163 and 75174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75163 and 75174.

How to find the GCF of 75163 and 75174?

We will first find the prime factorization of 75163 and 75174. After we will calculate the factors of 75163 and 75174 and find the biggest common factor number .

Step-1: Prime Factorization of 75163

Prime factors of 75163 are 11, 6833. Prime factorization of 75163 in exponential form is:

75163 = 11¹ × 6833¹

Step-2: 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-3: Factors of 75163

List of positive integer factors of 75163 that divides 75163 without a remainder.

1, 11, 6833

Step-4: Factors of 75174

List of positive integer factors of 75174 that divides 75163 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75163 and 75174. The biggest common factor number is the GCF number.
So the greatest common factor 75163 and 75174 is 11.

Also check out the Least Common Multiple of 75163 and 75174