What is the Greatest Common Factor of 60330 and 60350?

Greatest common factor (GCF) of 60330 and 60350 is 10.

GCF(60330,60350) = 10

We will now calculate the prime factors of 60330 and 60350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60330 and 60350.

How to find the GCF of 60330 and 60350?

We will first find the prime factorization of 60330 and 60350. After we will calculate the factors of 60330 and 60350 and find the biggest common factor number .

Step-1: Prime Factorization of 60330

Prime factors of 60330 are 2, 3, 5, 2011. Prime factorization of 60330 in exponential form is:

60330 = 2¹ × 3¹ × 5¹ × 2011¹

Step-2: Prime Factorization of 60350

Prime factors of 60350 are 2, 5, 17, 71. Prime factorization of 60350 in exponential form is:

60350 = 2¹ × 5² × 17¹ × 71¹

Step-3: Factors of 60330

List of positive integer factors of 60330 that divides 60330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2011, 4022, 6033, 10055, 12066, 20110, 30165

Step-4: Factors of 60350

List of positive integer factors of 60350 that divides 60330 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 71, 85, 142, 170, 355, 425, 710, 850, 1207, 1775, 2414, 3550, 6035, 12070, 30175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60330 and 60350. The biggest common factor number is the GCF number.
So the greatest common factor 60330 and 60350 is 10.

Also check out the Least Common Multiple of 60330 and 60350