What is the Greatest Common Factor of 60145 and 60165?

Greatest common factor (GCF) of 60145 and 60165 is 5.

GCF(60145,60165) = 5

We will now calculate the prime factors of 60145 and 60165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60145 and 60165.

How to find the GCF of 60145 and 60165?

We will first find the prime factorization of 60145 and 60165. After we will calculate the factors of 60145 and 60165 and find the biggest common factor number .

Step-1: Prime Factorization of 60145

Prime factors of 60145 are 5, 23, 523. Prime factorization of 60145 in exponential form is:

60145 = 5¹ × 23¹ × 523¹

Step-2: Prime Factorization of 60165

Prime factors of 60165 are 3, 5, 7, 191. Prime factorization of 60165 in exponential form is:

60165 = 3² × 5¹ × 7¹ × 191¹

Step-3: Factors of 60145

List of positive integer factors of 60145 that divides 60145 without a remainder.

1, 5, 23, 115, 523, 2615, 12029

Step-4: Factors of 60165

List of positive integer factors of 60165 that divides 60145 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 191, 315, 573, 955, 1337, 1719, 2865, 4011, 6685, 8595, 12033, 20055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60145 and 60165. The biggest common factor number is the GCF number.
So the greatest common factor 60145 and 60165 is 5.

Also check out the Least Common Multiple of 60145 and 60165