What is the Greatest Common Factor of 30312 and 30316?

Greatest common factor (GCF) of 30312 and 30316 is 4.

GCF(30312,30316) = 4

We will now calculate the prime factors of 30312 and 30316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30312 and 30316.

How to find the GCF of 30312 and 30316?

We will first find the prime factorization of 30312 and 30316. After we will calculate the factors of 30312 and 30316 and find the biggest common factor number .

Step-1: Prime Factorization of 30312

Prime factors of 30312 are 2, 3, 421. Prime factorization of 30312 in exponential form is:

30312 = 2³ × 3² × 421¹

Step-2: Prime Factorization of 30316

Prime factors of 30316 are 2, 11, 13, 53. Prime factorization of 30316 in exponential form is:

30316 = 2² × 11¹ × 13¹ × 53¹

Step-3: Factors of 30312

List of positive integer factors of 30312 that divides 30312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 421, 842, 1263, 1684, 2526, 3368, 3789, 5052, 7578, 10104, 15156

Step-4: Factors of 30316

List of positive integer factors of 30316 that divides 30312 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 53, 106, 143, 212, 286, 572, 583, 689, 1166, 1378, 2332, 2756, 7579, 15158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30312 and 30316. The biggest common factor number is the GCF number.
So the greatest common factor 30312 and 30316 is 4.

Also check out the Least Common Multiple of 30312 and 30316