What is the Greatest Common Factor of 30312 and 30332?

Greatest common factor (GCF) of 30312 and 30332 is 4.

GCF(30312,30332) = 4

We will now calculate the prime factors of 30312 and 30332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30312 and 30332.

How to find the GCF of 30312 and 30332?

We will first find the prime factorization of 30312 and 30332. After we will calculate the factors of 30312 and 30332 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 30332

Prime factors of 30332 are 2, 7583. Prime factorization of 30332 in exponential form is:

30332 = 2² × 7583¹

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 30332

List of positive integer factors of 30332 that divides 30312 without a remainder.

1, 2, 4, 7583, 15166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30312 and 30332. The biggest common factor number is the GCF number.
So the greatest common factor 30312 and 30332 is 4.

Also check out the Least Common Multiple of 30312 and 30332