What is the Greatest Common Factor of 30696 and 30708?

Greatest common factor (GCF) of 30696 and 30708 is 12.

GCF(30696,30708) = 12

We will now calculate the prime factors of 30696 and 30708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30696 and 30708.

How to find the GCF of 30696 and 30708?

We will first find the prime factorization of 30696 and 30708. After we will calculate the factors of 30696 and 30708 and find the biggest common factor number .

Step-1: Prime Factorization of 30696

Prime factors of 30696 are 2, 3, 1279. Prime factorization of 30696 in exponential form is:

30696 = 2³ × 3¹ × 1279¹

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 30696

List of positive integer factors of 30696 that divides 30696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1279, 2558, 3837, 5116, 7674, 10232, 15348

Step-4: Factors of 30708

List of positive integer factors of 30708 that divides 30696 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 30696 and 30708. The biggest common factor number is the GCF number.
So the greatest common factor 30696 and 30708 is 12.

Also check out the Least Common Multiple of 30696 and 30708