What is the Greatest Common Factor of 60150 and 60166?

Greatest common factor (GCF) of 60150 and 60166 is 2.

GCF(60150,60166) = 2

We will now calculate the prime factors of 60150 and 60166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60150 and 60166.

How to find the GCF of 60150 and 60166?

We will first find the prime factorization of 60150 and 60166. After we will calculate the factors of 60150 and 60166 and find the biggest common factor number .

Step-1: Prime Factorization of 60150

Prime factors of 60150 are 2, 3, 5, 401. Prime factorization of 60150 in exponential form is:

60150 = 2¹ × 3¹ × 5² × 401¹

Step-2: Prime Factorization of 60166

Prime factors of 60166 are 2, 67, 449. Prime factorization of 60166 in exponential form is:

60166 = 2¹ × 67¹ × 449¹

Step-3: Factors of 60150

List of positive integer factors of 60150 that divides 60150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 401, 802, 1203, 2005, 2406, 4010, 6015, 10025, 12030, 20050, 30075

Step-4: Factors of 60166

List of positive integer factors of 60166 that divides 60150 without a remainder.

1, 2, 67, 134, 449, 898, 30083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60150 and 60166. The biggest common factor number is the GCF number.
So the greatest common factor 60150 and 60166 is 2.

Also check out the Least Common Multiple of 60150 and 60166