What is the Greatest Common Factor of 30334 and 30352?

Greatest common factor (GCF) of 30334 and 30352 is 2.

GCF(30334,30352) = 2

We will now calculate the prime factors of 30334 and 30352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30334 and 30352.

How to find the GCF of 30334 and 30352?

We will first find the prime factorization of 30334 and 30352. After we will calculate the factors of 30334 and 30352 and find the biggest common factor number .

Step-1: Prime Factorization of 30334

Prime factors of 30334 are 2, 29, 523. Prime factorization of 30334 in exponential form is:

30334 = 2¹ × 29¹ × 523¹

Step-2: Prime Factorization of 30352

Prime factors of 30352 are 2, 7, 271. Prime factorization of 30352 in exponential form is:

30352 = 2⁴ × 7¹ × 271¹

Step-3: Factors of 30334

List of positive integer factors of 30334 that divides 30334 without a remainder.

1, 2, 29, 58, 523, 1046, 15167

Step-4: Factors of 30352

List of positive integer factors of 30352 that divides 30334 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 271, 542, 1084, 1897, 2168, 3794, 4336, 7588, 15176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30334 and 30352. The biggest common factor number is the GCF number.
So the greatest common factor 30334 and 30352 is 2.

Also check out the Least Common Multiple of 30334 and 30352