What is the Greatest Common Factor of 30150 and 30170?

Greatest common factor (GCF) of 30150 and 30170 is 10.

GCF(30150,30170) = 10

We will now calculate the prime factors of 30150 and 30170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30150 and 30170.

How to find the GCF of 30150 and 30170?

We will first find the prime factorization of 30150 and 30170. After we will calculate the factors of 30150 and 30170 and find the biggest common factor number .

Step-1: Prime Factorization of 30150

Prime factors of 30150 are 2, 3, 5, 67. Prime factorization of 30150 in exponential form is:

30150 = 2¹ × 3² × 5² × 67¹

Step-2: Prime Factorization of 30170

Prime factors of 30170 are 2, 5, 7, 431. Prime factorization of 30170 in exponential form is:

30170 = 2¹ × 5¹ × 7¹ × 431¹

Step-3: Factors of 30150

List of positive integer factors of 30150 that divides 30150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 67, 75, 90, 134, 150, 201, 225, 335, 402, 450, 603, 670, 1005, 1206, 1675, 2010, 3015, 3350, 5025, 6030, 10050, 15075

Step-4: Factors of 30170

List of positive integer factors of 30170 that divides 30150 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 431, 862, 2155, 3017, 4310, 6034, 15085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30150 and 30170. The biggest common factor number is the GCF number.
So the greatest common factor 30150 and 30170 is 10.

Also check out the Least Common Multiple of 30150 and 30170