What is the Greatest Common Factor of 30693 and 30706?

Greatest common factor (GCF) of 30693 and 30706 is 13.

GCF(30693,30706) = 13

We will now calculate the prime factors of 30693 and 30706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30693 and 30706.

How to find the GCF of 30693 and 30706?

We will first find the prime factorization of 30693 and 30706. After we will calculate the factors of 30693 and 30706 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30706

Prime factors of 30706 are 2, 13, 1181. Prime factorization of 30706 in exponential form is:

30706 = 2¹ × 13¹ × 1181¹

Step-3: Factors of 30693

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

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

Step-4: Factors of 30706

List of positive integer factors of 30706 that divides 30693 without a remainder.

1, 2, 13, 26, 1181, 2362, 15353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30693 and 30706. The biggest common factor number is the GCF number.
So the greatest common factor 30693 and 30706 is 13.

Also check out the Least Common Multiple of 30693 and 30706