What is the Greatest Common Factor of 30352 and 30359?

Greatest common factor (GCF) of 30352 and 30359 is 7.

GCF(30352,30359) = 7

We will now calculate the prime factors of 30352 and 30359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30352 and 30359.

How to find the GCF of 30352 and 30359?

We will first find the prime factorization of 30352 and 30359. After we will calculate the factors of 30352 and 30359 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 30359

Prime factors of 30359 are 7, 4337. Prime factorization of 30359 in exponential form is:

30359 = 7¹ × 4337¹

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 30359

List of positive integer factors of 30359 that divides 30352 without a remainder.

1, 7, 4337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30352 and 30359. The biggest common factor number is the GCF number.
So the greatest common factor 30352 and 30359 is 7.

Also check out the Least Common Multiple of 30352 and 30359