What is the Greatest Common Factor of 30360 and 30365?

Greatest common factor (GCF) of 30360 and 30365 is 5.

GCF(30360,30365) = 5

We will now calculate the prime factors of 30360 and 30365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30360 and 30365.

How to find the GCF of 30360 and 30365?

We will first find the prime factorization of 30360 and 30365. After we will calculate the factors of 30360 and 30365 and find the biggest common factor number .

Step-1: Prime Factorization of 30360

Prime factors of 30360 are 2, 3, 5, 11, 23. Prime factorization of 30360 in exponential form is:

30360 = 2³ × 3¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 30365

Prime factors of 30365 are 5, 6073. Prime factorization of 30365 in exponential form is:

30365 = 5¹ × 6073¹

Step-3: Factors of 30360

List of positive integer factors of 30360 that divides 30360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 23, 24, 30, 33, 40, 44, 46, 55, 60, 66, 69, 88, 92, 110, 115, 120, 132, 138, 165, 184, 220, 230, 253, 264, 276, 330, 345, 440, 460, 506, 552, 660, 690, 759, 920, 1012, 1265, 1320, 1380, 1518, 2024, 2530, 2760, 3036, 3795, 5060, 6072, 7590, 10120, 15180

Step-4: Factors of 30365

List of positive integer factors of 30365 that divides 30360 without a remainder.

1, 5, 6073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30360 and 30365. The biggest common factor number is the GCF number.
So the greatest common factor 30360 and 30365 is 5.

Also check out the Least Common Multiple of 30360 and 30365