What is the Greatest Common Factor of 30690 and 30708?

Greatest common factor (GCF) of 30690 and 30708 is 18.

GCF(30690,30708) = 18

We will now calculate the prime factors of 30690 and 30708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30690 and 30708.

How to find the GCF of 30690 and 30708?

We will first find the prime factorization of 30690 and 30708. After we will calculate the factors of 30690 and 30708 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 30708

Prime factors of 30708 are 2, 3, 853. Prime factorization of 30708 in exponential form is:

30708 = 2² × 3² × 853¹

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 30708

List of positive integer factors of 30708 that divides 30690 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 853, 1706, 2559, 3412, 5118, 7677, 10236, 15354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30690 and 30708. The biggest common factor number is the GCF number.
So the greatest common factor 30690 and 30708 is 18.

Also check out the Least Common Multiple of 30690 and 30708