What is the Greatest Common Factor of 30374 and 30392?

Greatest common factor (GCF) of 30374 and 30392 is 2.

GCF(30374,30392) = 2

We will now calculate the prime factors of 30374 and 30392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30374 and 30392.

How to find the GCF of 30374 and 30392?

We will first find the prime factorization of 30374 and 30392. After we will calculate the factors of 30374 and 30392 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 30392

Prime factors of 30392 are 2, 29, 131. Prime factorization of 30392 in exponential form is:

30392 = 2³ × 29¹ × 131¹

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 30392

List of positive integer factors of 30392 that divides 30374 without a remainder.

1, 2, 4, 8, 29, 58, 116, 131, 232, 262, 524, 1048, 3799, 7598, 15196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30374 and 30392. The biggest common factor number is the GCF number.
So the greatest common factor 30374 and 30392 is 2.

Also check out the Least Common Multiple of 30374 and 30392