What is the Greatest Common Factor of 30360 and 30364?

Greatest common factor (GCF) of 30360 and 30364 is 4.

GCF(30360,30364) = 4

We will now calculate the prime factors of 30360 and 30364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30360 and 30364.

How to find the GCF of 30360 and 30364?

We will first find the prime factorization of 30360 and 30364. After we will calculate the factors of 30360 and 30364 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 30364

Prime factors of 30364 are 2, 7591. Prime factorization of 30364 in exponential form is:

30364 = 2² × 7591¹

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 30364

List of positive integer factors of 30364 that divides 30360 without a remainder.

1, 2, 4, 7591, 15182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30360 and 30364. The biggest common factor number is the GCF number.
So the greatest common factor 30360 and 30364 is 4.

Also check out the Least Common Multiple of 30360 and 30364