What is the Greatest Common Factor of 30360 and 30372?

Greatest common factor (GCF) of 30360 and 30372 is 12.

GCF(30360,30372) = 12

We will now calculate the prime factors of 30360 and 30372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30360 and 30372.

How to find the GCF of 30360 and 30372?

We will first find the prime factorization of 30360 and 30372. After we will calculate the factors of 30360 and 30372 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 30372

Prime factors of 30372 are 2, 3, 2531. Prime factorization of 30372 in exponential form is:

30372 = 2² × 3¹ × 2531¹

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 30372

List of positive integer factors of 30372 that divides 30360 without a remainder.

1, 2, 3, 4, 6, 12, 2531, 5062, 7593, 10124, 15186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30360 and 30372. The biggest common factor number is the GCF number.
So the greatest common factor 30360 and 30372 is 12.

Also check out the Least Common Multiple of 30360 and 30372