What is the Greatest Common Factor of 30555 and 30575?

Greatest common factor (GCF) of 30555 and 30575 is 5.

GCF(30555,30575) = 5

We will now calculate the prime factors of 30555 and 30575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30555 and 30575.

How to find the GCF of 30555 and 30575?

We will first find the prime factorization of 30555 and 30575. After we will calculate the factors of 30555 and 30575 and find the biggest common factor number .

Step-1: Prime Factorization of 30555

Prime factors of 30555 are 3, 5, 7, 97. Prime factorization of 30555 in exponential form is:

30555 = 3² × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 30575

Prime factors of 30575 are 5, 1223. Prime factorization of 30575 in exponential form is:

30575 = 5² × 1223¹

Step-3: Factors of 30555

List of positive integer factors of 30555 that divides 30555 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 97, 105, 291, 315, 485, 679, 873, 1455, 2037, 3395, 4365, 6111, 10185

Step-4: Factors of 30575

List of positive integer factors of 30575 that divides 30555 without a remainder.

1, 5, 25, 1223, 6115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30555 and 30575. The biggest common factor number is the GCF number.
So the greatest common factor 30555 and 30575 is 5.

Also check out the Least Common Multiple of 30555 and 30575