What is the Greatest Common Factor of 30360 and 30373?

Greatest common factor (GCF) of 30360 and 30373 is 1.

GCF(30360,30373) = 1

We will now calculate the prime factors of 30360 and 30373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30360 and 30373.

How to find the GCF of 30360 and 30373?

We will first find the prime factorization of 30360 and 30373. After we will calculate the factors of 30360 and 30373 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 30373

Prime factors of 30373 are 7, 4339. Prime factorization of 30373 in exponential form is:

30373 = 7¹ × 4339¹

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 30373

List of positive integer factors of 30373 that divides 30360 without a remainder.

1, 7, 4339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30360 and 30373. The biggest common factor number is the GCF number.
So the greatest common factor 30360 and 30373 is 1.

Also check out the Least Common Multiple of 30360 and 30373