What is the Greatest Common Factor of 30690 and 30699?

Greatest common factor (GCF) of 30690 and 30699 is 9.

GCF(30690,30699) = 9

We will now calculate the prime factors of 30690 and 30699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30690 and 30699.

How to find the GCF of 30690 and 30699?

We will first find the prime factorization of 30690 and 30699. After we will calculate the factors of 30690 and 30699 and find the biggest common factor number .

Step-1: Prime Factorization of 30690

Prime factors of 30690 are 2, 3, 5, 11, 31. Prime factorization of 30690 in exponential form is:

30690 = 2¹ × 3² × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 30699

Prime factors of 30699 are 3, 379. Prime factorization of 30699 in exponential form is:

30699 = 3⁴ × 379¹

Step-3: Factors of 30690

List of positive integer factors of 30690 that divides 30690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 31, 33, 45, 55, 62, 66, 90, 93, 99, 110, 155, 165, 186, 198, 279, 310, 330, 341, 465, 495, 558, 682, 930, 990, 1023, 1395, 1705, 2046, 2790, 3069, 3410, 5115, 6138, 10230, 15345

Step-4: Factors of 30699

List of positive integer factors of 30699 that divides 30690 without a remainder.

1, 3, 9, 27, 81, 379, 1137, 3411, 10233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30690 and 30699. The biggest common factor number is the GCF number.
So the greatest common factor 30690 and 30699 is 9.

Also check out the Least Common Multiple of 30690 and 30699