What is the Greatest Common Factor of 30360 and 30376?

Greatest common factor (GCF) of 30360 and 30376 is 8.

GCF(30360,30376) = 8

We will now calculate the prime factors of 30360 and 30376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30360 and 30376.

How to find the GCF of 30360 and 30376?

We will first find the prime factorization of 30360 and 30376. After we will calculate the factors of 30360 and 30376 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 30376

Prime factors of 30376 are 2, 3797. Prime factorization of 30376 in exponential form is:

30376 = 2³ × 3797¹

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 30376

List of positive integer factors of 30376 that divides 30360 without a remainder.

1, 2, 4, 8, 3797, 7594, 15188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30360 and 30376. The biggest common factor number is the GCF number.
So the greatest common factor 30360 and 30376 is 8.

Also check out the Least Common Multiple of 30360 and 30376