What is the Greatest Common Factor of 30675 and 30693?

Greatest common factor (GCF) of 30675 and 30693 is 3.

GCF(30675,30693) = 3

We will now calculate the prime factors of 30675 and 30693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30675 and 30693.

How to find the GCF of 30675 and 30693?

We will first find the prime factorization of 30675 and 30693. After we will calculate the factors of 30675 and 30693 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 30693

Prime factors of 30693 are 3, 13, 787. Prime factorization of 30693 in exponential form is:

30693 = 3¹ × 13¹ × 787¹

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 30693

List of positive integer factors of 30693 that divides 30675 without a remainder.

1, 3, 13, 39, 787, 2361, 10231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30675 and 30693. The biggest common factor number is the GCF number.
So the greatest common factor 30675 and 30693 is 3.

Also check out the Least Common Multiple of 30675 and 30693