What is the Greatest Common Factor of 75105 and 75113?

Greatest common factor (GCF) of 75105 and 75113 is 1.

GCF(75105,75113) = 1

We will now calculate the prime factors of 75105 and 75113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75105 and 75113.

How to find the GCF of 75105 and 75113?

We will first find the prime factorization of 75105 and 75113. After we will calculate the factors of 75105 and 75113 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 75113

Prime factors of 75113 are 31, 2423. Prime factorization of 75113 in exponential form is:

75113 = 31¹ × 2423¹

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 75113

List of positive integer factors of 75113 that divides 75105 without a remainder.

1, 31, 2423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75105 and 75113. The biggest common factor number is the GCF number.
So the greatest common factor 75105 and 75113 is 1.

Also check out the Least Common Multiple of 75105 and 75113