What is the Greatest Common Factor of 30243 and 30260?

Greatest common factor (GCF) of 30243 and 30260 is 17.

GCF(30243,30260) = 17

We will now calculate the prime factors of 30243 and 30260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30243 and 30260.

How to find the GCF of 30243 and 30260?

We will first find the prime factorization of 30243 and 30260. After we will calculate the factors of 30243 and 30260 and find the biggest common factor number .

Step-1: Prime Factorization of 30243

Prime factors of 30243 are 3, 17, 593. Prime factorization of 30243 in exponential form is:

30243 = 3¹ × 17¹ × 593¹

Step-2: Prime Factorization of 30260

Prime factors of 30260 are 2, 5, 17, 89. Prime factorization of 30260 in exponential form is:

30260 = 2² × 5¹ × 17¹ × 89¹

Step-3: Factors of 30243

List of positive integer factors of 30243 that divides 30243 without a remainder.

1, 3, 17, 51, 593, 1779, 10081

Step-4: Factors of 30260

List of positive integer factors of 30260 that divides 30243 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 89, 170, 178, 340, 356, 445, 890, 1513, 1780, 3026, 6052, 7565, 15130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30243 and 30260. The biggest common factor number is the GCF number.
So the greatest common factor 30243 and 30260 is 17.

Also check out the Least Common Multiple of 30243 and 30260