What is the Greatest Common Factor of 30475 and 30488?

Greatest common factor (GCF) of 30475 and 30488 is 1.

GCF(30475,30488) = 1

We will now calculate the prime factors of 30475 and 30488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30475 and 30488.

How to find the GCF of 30475 and 30488?

We will first find the prime factorization of 30475 and 30488. After we will calculate the factors of 30475 and 30488 and find the biggest common factor number .

Step-1: Prime Factorization of 30475

Prime factors of 30475 are 5, 23, 53. Prime factorization of 30475 in exponential form is:

30475 = 5² × 23¹ × 53¹

Step-2: Prime Factorization of 30488

Prime factors of 30488 are 2, 37, 103. Prime factorization of 30488 in exponential form is:

30488 = 2³ × 37¹ × 103¹

Step-3: Factors of 30475

List of positive integer factors of 30475 that divides 30475 without a remainder.

1, 5, 23, 25, 53, 115, 265, 575, 1219, 1325, 6095

Step-4: Factors of 30488

List of positive integer factors of 30488 that divides 30475 without a remainder.

1, 2, 4, 8, 37, 74, 103, 148, 206, 296, 412, 824, 3811, 7622, 15244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30475 and 30488. The biggest common factor number is the GCF number.
So the greatest common factor 30475 and 30488 is 1.

Also check out the Least Common Multiple of 30475 and 30488