What is the Greatest Common Factor of 30675 and 30682?

Greatest common factor (GCF) of 30675 and 30682 is 1.

GCF(30675,30682) = 1

We will now calculate the prime factors of 30675 and 30682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30675 and 30682.

How to find the GCF of 30675 and 30682?

We will first find the prime factorization of 30675 and 30682. After we will calculate the factors of 30675 and 30682 and find the biggest common factor number .

Step-1: Prime Factorization of 30675

Prime factors of 30675 are 3, 5, 409. Prime factorization of 30675 in exponential form is:

30675 = 3¹ × 5² × 409¹

Step-2: Prime Factorization of 30682

Prime factors of 30682 are 2, 23, 29. Prime factorization of 30682 in exponential form is:

30682 = 2¹ × 23² × 29¹

Step-3: Factors of 30675

List of positive integer factors of 30675 that divides 30675 without a remainder.

1, 3, 5, 15, 25, 75, 409, 1227, 2045, 6135, 10225

Step-4: Factors of 30682

List of positive integer factors of 30682 that divides 30675 without a remainder.

1, 2, 23, 29, 46, 58, 529, 667, 1058, 1334, 15341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30675 and 30682. The biggest common factor number is the GCF number.
So the greatest common factor 30675 and 30682 is 1.

Also check out the Least Common Multiple of 30675 and 30682