What is the Greatest Common Factor of 60150 and 60169?

Greatest common factor (GCF) of 60150 and 60169 is 1.

GCF(60150,60169) = 1

We will now calculate the prime factors of 60150 and 60169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60150 and 60169.

How to find the GCF of 60150 and 60169?

We will first find the prime factorization of 60150 and 60169. After we will calculate the factors of 60150 and 60169 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 60169

Prime factors of 60169 are 60169. Prime factorization of 60169 in exponential form is:

60169 = 60169¹

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 60169

List of positive integer factors of 60169 that divides 60150 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60150 and 60169. The biggest common factor number is the GCF number.
So the greatest common factor 60150 and 60169 is 1.

Also check out the Least Common Multiple of 60150 and 60169