What is the Greatest Common Factor of 30105 and 30113?

Greatest common factor (GCF) of 30105 and 30113 is 1.

GCF(30105,30113) = 1

We will now calculate the prime factors of 30105 and 30113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30105 and 30113.

How to find the GCF of 30105 and 30113?

We will first find the prime factorization of 30105 and 30113. After we will calculate the factors of 30105 and 30113 and find the biggest common factor number .

Step-1: Prime Factorization of 30105

Prime factors of 30105 are 3, 5, 223. Prime factorization of 30105 in exponential form is:

30105 = 3³ × 5¹ × 223¹

Step-2: Prime Factorization of 30113

Prime factors of 30113 are 30113. Prime factorization of 30113 in exponential form is:

30113 = 30113¹

Step-3: Factors of 30105

List of positive integer factors of 30105 that divides 30105 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 223, 669, 1115, 2007, 3345, 6021, 10035

Step-4: Factors of 30113

List of positive integer factors of 30113 that divides 30105 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30105 and 30113. The biggest common factor number is the GCF number.
So the greatest common factor 30105 and 30113 is 1.

Also check out the Least Common Multiple of 30105 and 30113