What is the Greatest Common Factor of 30340 and 30360?

Greatest common factor (GCF) of 30340 and 30360 is 20.

GCF(30340,30360) = 20

We will now calculate the prime factors of 30340 and 30360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30340 and 30360.

How to find the GCF of 30340 and 30360?

We will first find the prime factorization of 30340 and 30360. After we will calculate the factors of 30340 and 30360 and find the biggest common factor number .

Step-1: Prime Factorization of 30340

Prime factors of 30340 are 2, 5, 37, 41. Prime factorization of 30340 in exponential form is:

30340 = 2² × 5¹ × 37¹ × 41¹

Step-2: 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-3: Factors of 30340

List of positive integer factors of 30340 that divides 30340 without a remainder.

1, 2, 4, 5, 10, 20, 37, 41, 74, 82, 148, 164, 185, 205, 370, 410, 740, 820, 1517, 3034, 6068, 7585, 15170

Step-4: Factors of 30360

List of positive integer factors of 30360 that divides 30340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30340 and 30360. The biggest common factor number is the GCF number.
So the greatest common factor 30340 and 30360 is 20.

Also check out the Least Common Multiple of 30340 and 30360