What is the Greatest Common Factor of 75110 and 75129?

Greatest common factor (GCF) of 75110 and 75129 is 1.

GCF(75110,75129) = 1

We will now calculate the prime factors of 75110 and 75129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75110 and 75129.

How to find the GCF of 75110 and 75129?

We will first find the prime factorization of 75110 and 75129. After we will calculate the factors of 75110 and 75129 and find the biggest common factor number .

Step-1: Prime Factorization of 75110

Prime factors of 75110 are 2, 5, 7, 29, 37. Prime factorization of 75110 in exponential form is:

75110 = 2¹ × 5¹ × 7¹ × 29¹ × 37¹

Step-2: Prime Factorization of 75129

Prime factors of 75129 are 3, 79, 317. Prime factorization of 75129 in exponential form is:

75129 = 3¹ × 79¹ × 317¹

Step-3: Factors of 75110

List of positive integer factors of 75110 that divides 75110 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 37, 58, 70, 74, 145, 185, 203, 259, 290, 370, 406, 518, 1015, 1073, 1295, 2030, 2146, 2590, 5365, 7511, 10730, 15022, 37555

Step-4: Factors of 75129

List of positive integer factors of 75129 that divides 75110 without a remainder.

1, 3, 79, 237, 317, 951, 25043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75110 and 75129. The biggest common factor number is the GCF number.
So the greatest common factor 75110 and 75129 is 1.

Also check out the Least Common Multiple of 75110 and 75129