What is the Greatest Common Factor of 60015 and 60027?

Greatest common factor (GCF) of 60015 and 60027 is 3.

GCF(60015,60027) = 3

We will now calculate the prime factors of 60015 and 60027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60015 and 60027.

How to find the GCF of 60015 and 60027?

We will first find the prime factorization of 60015 and 60027. After we will calculate the factors of 60015 and 60027 and find the biggest common factor number .

Step-1: Prime Factorization of 60015

Prime factors of 60015 are 3, 5, 4001. Prime factorization of 60015 in exponential form is:

60015 = 3¹ × 5¹ × 4001¹

Step-2: Prime Factorization of 60027

Prime factors of 60027 are 3, 11, 17, 107. Prime factorization of 60027 in exponential form is:

60027 = 3¹ × 11¹ × 17¹ × 107¹

Step-3: Factors of 60015

List of positive integer factors of 60015 that divides 60015 without a remainder.

1, 3, 5, 15, 4001, 12003, 20005

Step-4: Factors of 60027

List of positive integer factors of 60027 that divides 60015 without a remainder.

1, 3, 11, 17, 33, 51, 107, 187, 321, 561, 1177, 1819, 3531, 5457, 20009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60015 and 60027. The biggest common factor number is the GCF number.
So the greatest common factor 60015 and 60027 is 3.

Also check out the Least Common Multiple of 60015 and 60027