What is the Greatest Common Factor of 30360 and 30367?

Greatest common factor (GCF) of 30360 and 30367 is 1.

GCF(30360,30367) = 1

We will now calculate the prime factors of 30360 and 30367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30360 and 30367.

How to find the GCF of 30360 and 30367?

We will first find the prime factorization of 30360 and 30367. After we will calculate the factors of 30360 and 30367 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 30367

Prime factors of 30367 are 30367. Prime factorization of 30367 in exponential form is:

30367 = 30367¹

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 30367

List of positive integer factors of 30367 that divides 30360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30360 and 30367. The biggest common factor number is the GCF number.
So the greatest common factor 30360 and 30367 is 1.

Also check out the Least Common Multiple of 30360 and 30367