What is the Greatest Common Factor of 75105 and 75110?

Greatest common factor (GCF) of 75105 and 75110 is 5.

GCF(75105,75110) = 5

We will now calculate the prime factors of 75105 and 75110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75105 and 75110.

How to find the GCF of 75105 and 75110?

We will first find the prime factorization of 75105 and 75110. After we will calculate the factors of 75105 and 75110 and find the biggest common factor number .

Step-1: Prime Factorization of 75105

Prime factors of 75105 are 3, 5, 1669. Prime factorization of 75105 in exponential form is:

75105 = 3² × 5¹ × 1669¹

Step-2: 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-3: Factors of 75105

List of positive integer factors of 75105 that divides 75105 without a remainder.

1, 3, 5, 9, 15, 45, 1669, 5007, 8345, 15021, 25035

Step-4: Factors of 75110

List of positive integer factors of 75110 that divides 75105 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75105 and 75110. The biggest common factor number is the GCF number.
So the greatest common factor 75105 and 75110 is 5.

Also check out the Least Common Multiple of 75105 and 75110