What is the Greatest Common Factor of 75110 and 75130?

Greatest common factor (GCF) of 75110 and 75130 is 10.

GCF(75110,75130) = 10

We will now calculate the prime factors of 75110 and 75130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75110 and 75130.

How to find the GCF of 75110 and 75130?

We will first find the prime factorization of 75110 and 75130. After we will calculate the factors of 75110 and 75130 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 75130

Prime factors of 75130 are 2, 5, 11, 683. Prime factorization of 75130 in exponential form is:

75130 = 2¹ × 5¹ × 11¹ × 683¹

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 75130

List of positive integer factors of 75130 that divides 75110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 683, 1366, 3415, 6830, 7513, 15026, 37565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75110 and 75130. The biggest common factor number is the GCF number.
So the greatest common factor 75110 and 75130 is 10.

Also check out the Least Common Multiple of 75110 and 75130