What is the Greatest Common Factor of 75174 and 75179?

Greatest common factor (GCF) of 75174 and 75179 is 1.

GCF(75174,75179) = 1

We will now calculate the prime factors of 75174 and 75179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75174 and 75179.

How to find the GCF of 75174 and 75179?

We will first find the prime factorization of 75174 and 75179. After we will calculate the factors of 75174 and 75179 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 75179

Prime factors of 75179 are 13, 5783. Prime factorization of 75179 in exponential form is:

75179 = 13¹ × 5783¹

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 75179

List of positive integer factors of 75179 that divides 75174 without a remainder.

1, 13, 5783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75174 and 75179. The biggest common factor number is the GCF number.
So the greatest common factor 75174 and 75179 is 1.

Also check out the Least Common Multiple of 75174 and 75179