What is the Greatest Common Factor of 30350 and 30360?

Greatest common factor (GCF) of 30350 and 30360 is 10.

GCF(30350,30360) = 10

We will now calculate the prime factors of 30350 and 30360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30350 and 30360.

How to find the GCF of 30350 and 30360?

We will first find the prime factorization of 30350 and 30360. After we will calculate the factors of 30350 and 30360 and find the biggest common factor number .

Step-1: Prime Factorization of 30350

Prime factors of 30350 are 2, 5, 607. Prime factorization of 30350 in exponential form is:

30350 = 2¹ × 5² × 607¹

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 30350

List of positive integer factors of 30350 that divides 30350 without a remainder.

1, 2, 5, 10, 25, 50, 607, 1214, 3035, 6070, 15175

Step-4: Factors of 30360

List of positive integer factors of 30360 that divides 30350 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 30350 and 30360. The biggest common factor number is the GCF number.
So the greatest common factor 30350 and 30360 is 10.

Also check out the Least Common Multiple of 30350 and 30360