What is the Greatest Common Factor of 30374 and 30388?

Greatest common factor (GCF) of 30374 and 30388 is 2.

GCF(30374,30388) = 2

We will now calculate the prime factors of 30374 and 30388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30374 and 30388.

How to find the GCF of 30374 and 30388?

We will first find the prime factorization of 30374 and 30388. After we will calculate the factors of 30374 and 30388 and find the biggest common factor number .

Step-1: Prime Factorization of 30374

Prime factors of 30374 are 2, 15187. Prime factorization of 30374 in exponential form is:

30374 = 2¹ × 15187¹

Step-2: Prime Factorization of 30388

Prime factors of 30388 are 2, 71, 107. Prime factorization of 30388 in exponential form is:

30388 = 2² × 71¹ × 107¹

Step-3: Factors of 30374

List of positive integer factors of 30374 that divides 30374 without a remainder.

1, 2, 15187

Step-4: Factors of 30388

List of positive integer factors of 30388 that divides 30374 without a remainder.

1, 2, 4, 71, 107, 142, 214, 284, 428, 7597, 15194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30374 and 30388. The biggest common factor number is the GCF number.
So the greatest common factor 30374 and 30388 is 2.

Also check out the Least Common Multiple of 30374 and 30388