What is the Greatest Common Factor of 60135 and 60150?

Greatest common factor (GCF) of 60135 and 60150 is 15.

GCF(60135,60150) = 15

We will now calculate the prime factors of 60135 and 60150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60135 and 60150.

How to find the GCF of 60135 and 60150?

We will first find the prime factorization of 60135 and 60150. After we will calculate the factors of 60135 and 60150 and find the biggest common factor number .

Step-1: Prime Factorization of 60135

Prime factors of 60135 are 3, 5, 19, 211. Prime factorization of 60135 in exponential form is:

60135 = 3¹ × 5¹ × 19¹ × 211¹

Step-2: 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-3: Factors of 60135

List of positive integer factors of 60135 that divides 60135 without a remainder.

1, 3, 5, 15, 19, 57, 95, 211, 285, 633, 1055, 3165, 4009, 12027, 20045

Step-4: Factors of 60150

List of positive integer factors of 60150 that divides 60135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60135 and 60150. The biggest common factor number is the GCF number.
So the greatest common factor 60135 and 60150 is 15.

Also check out the Least Common Multiple of 60135 and 60150