What is the Greatest Common Factor of 30672 and 30684?

Greatest common factor (GCF) of 30672 and 30684 is 12.

GCF(30672,30684) = 12

We will now calculate the prime factors of 30672 and 30684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30672 and 30684.

How to find the GCF of 30672 and 30684?

We will first find the prime factorization of 30672 and 30684. After we will calculate the factors of 30672 and 30684 and find the biggest common factor number .

Step-1: Prime Factorization of 30672

Prime factors of 30672 are 2, 3, 71. Prime factorization of 30672 in exponential form is:

30672 = 2⁴ × 3³ × 71¹

Step-2: Prime Factorization of 30684

Prime factors of 30684 are 2, 3, 2557. Prime factorization of 30684 in exponential form is:

30684 = 2² × 3¹ × 2557¹

Step-3: Factors of 30672

List of positive integer factors of 30672 that divides 30672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 71, 72, 108, 142, 144, 213, 216, 284, 426, 432, 568, 639, 852, 1136, 1278, 1704, 1917, 2556, 3408, 3834, 5112, 7668, 10224, 15336

Step-4: Factors of 30684

List of positive integer factors of 30684 that divides 30672 without a remainder.

1, 2, 3, 4, 6, 12, 2557, 5114, 7671, 10228, 15342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30672 and 30684. The biggest common factor number is the GCF number.
So the greatest common factor 30672 and 30684 is 12.

Also check out the Least Common Multiple of 30672 and 30684