What is the Greatest Common Factor of 30345 and 30362?

Greatest common factor (GCF) of 30345 and 30362 is 17.

GCF(30345,30362) = 17

We will now calculate the prime factors of 30345 and 30362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30345 and 30362.

How to find the GCF of 30345 and 30362?

We will first find the prime factorization of 30345 and 30362. After we will calculate the factors of 30345 and 30362 and find the biggest common factor number .

Step-1: Prime Factorization of 30345

Prime factors of 30345 are 3, 5, 7, 17. Prime factorization of 30345 in exponential form is:

30345 = 3¹ × 5¹ × 7¹ × 17²

Step-2: Prime Factorization of 30362

Prime factors of 30362 are 2, 17, 19, 47. Prime factorization of 30362 in exponential form is:

30362 = 2¹ × 17¹ × 19¹ × 47¹

Step-3: Factors of 30345

List of positive integer factors of 30345 that divides 30345 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 289, 357, 595, 867, 1445, 1785, 2023, 4335, 6069, 10115

Step-4: Factors of 30362

List of positive integer factors of 30362 that divides 30345 without a remainder.

1, 2, 17, 19, 34, 38, 47, 94, 323, 646, 799, 893, 1598, 1786, 15181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30345 and 30362. The biggest common factor number is the GCF number.
So the greatest common factor 30345 and 30362 is 17.

Also check out the Least Common Multiple of 30345 and 30362