What is the Greatest Common Factor of 30352 and 30370?

Greatest common factor (GCF) of 30352 and 30370 is 2.

GCF(30352,30370) = 2

We will now calculate the prime factors of 30352 and 30370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30352 and 30370.

How to find the GCF of 30352 and 30370?

We will first find the prime factorization of 30352 and 30370. After we will calculate the factors of 30352 and 30370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30370

Prime factors of 30370 are 2, 5, 3037. Prime factorization of 30370 in exponential form is:

30370 = 2¹ × 5¹ × 3037¹

Step-3: Factors of 30352

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

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

Step-4: Factors of 30370

List of positive integer factors of 30370 that divides 30352 without a remainder.

1, 2, 5, 10, 3037, 6074, 15185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30352 and 30370. The biggest common factor number is the GCF number.
So the greatest common factor 30352 and 30370 is 2.

Also check out the Least Common Multiple of 30352 and 30370