What is the Greatest Common Factor of 30675 and 30687?

Greatest common factor (GCF) of 30675 and 30687 is 3.

GCF(30675,30687) = 3

We will now calculate the prime factors of 30675 and 30687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30675 and 30687.

How to find the GCF of 30675 and 30687?

We will first find the prime factorization of 30675 and 30687. After we will calculate the factors of 30675 and 30687 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 30687

Prime factors of 30687 are 3, 53, 193. Prime factorization of 30687 in exponential form is:

30687 = 3¹ × 53¹ × 193¹

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 30687

List of positive integer factors of 30687 that divides 30675 without a remainder.

1, 3, 53, 159, 193, 579, 10229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30675 and 30687. The biggest common factor number is the GCF number.
So the greatest common factor 30675 and 30687 is 3.

Also check out the Least Common Multiple of 30675 and 30687