What is the Greatest Common Factor of 60171 and 60180?

Greatest common factor (GCF) of 60171 and 60180 is 3.

GCF(60171,60180) = 3

We will now calculate the prime factors of 60171 and 60180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60171 and 60180.

How to find the GCF of 60171 and 60180?

We will first find the prime factorization of 60171 and 60180. After we will calculate the factors of 60171 and 60180 and find the biggest common factor number .

Step-1: Prime Factorization of 60171

Prime factors of 60171 are 3, 31, 647. Prime factorization of 60171 in exponential form is:

60171 = 3¹ × 31¹ × 647¹

Step-2: Prime Factorization of 60180

Prime factors of 60180 are 2, 3, 5, 17, 59. Prime factorization of 60180 in exponential form is:

60180 = 2² × 3¹ × 5¹ × 17¹ × 59¹

Step-3: Factors of 60171

List of positive integer factors of 60171 that divides 60171 without a remainder.

1, 3, 31, 93, 647, 1941, 20057

Step-4: Factors of 60180

List of positive integer factors of 60180 that divides 60171 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 59, 60, 68, 85, 102, 118, 170, 177, 204, 236, 255, 295, 340, 354, 510, 590, 708, 885, 1003, 1020, 1180, 1770, 2006, 3009, 3540, 4012, 5015, 6018, 10030, 12036, 15045, 20060, 30090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60171 and 60180. The biggest common factor number is the GCF number.
So the greatest common factor 60171 and 60180 is 3.

Also check out the Least Common Multiple of 60171 and 60180