What is the Greatest Common Factor of 30712 and 30728?

Greatest common factor (GCF) of 30712 and 30728 is 8.

GCF(30712,30728) = 8

We will now calculate the prime factors of 30712 and 30728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30712 and 30728.

How to find the GCF of 30712 and 30728?

We will first find the prime factorization of 30712 and 30728. After we will calculate the factors of 30712 and 30728 and find the biggest common factor number .

Step-1: Prime Factorization of 30712

Prime factors of 30712 are 2, 11, 349. Prime factorization of 30712 in exponential form is:

30712 = 2³ × 11¹ × 349¹

Step-2: Prime Factorization of 30728

Prime factors of 30728 are 2, 23, 167. Prime factorization of 30728 in exponential form is:

30728 = 2³ × 23¹ × 167¹

Step-3: Factors of 30712

List of positive integer factors of 30712 that divides 30712 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 349, 698, 1396, 2792, 3839, 7678, 15356

Step-4: Factors of 30728

List of positive integer factors of 30728 that divides 30712 without a remainder.

1, 2, 4, 8, 23, 46, 92, 167, 184, 334, 668, 1336, 3841, 7682, 15364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30712 and 30728. The biggest common factor number is the GCF number.
So the greatest common factor 30712 and 30728 is 8.

Also check out the Least Common Multiple of 30712 and 30728