What is the Greatest Common Factor of 30675 and 30683?

Greatest common factor (GCF) of 30675 and 30683 is 1.

GCF(30675,30683) = 1

We will now calculate the prime factors of 30675 and 30683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30675 and 30683.

How to find the GCF of 30675 and 30683?

We will first find the prime factorization of 30675 and 30683. After we will calculate the factors of 30675 and 30683 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 30683

Prime factors of 30683 are 61, 503. Prime factorization of 30683 in exponential form is:

30683 = 61¹ × 503¹

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 30683

List of positive integer factors of 30683 that divides 30675 without a remainder.

1, 61, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30675 and 30683. The biggest common factor number is the GCF number.
So the greatest common factor 30675 and 30683 is 1.

Also check out the Least Common Multiple of 30675 and 30683