What is the Greatest Common Factor of 60084 and 60102?

Greatest common factor (GCF) of 60084 and 60102 is 18.

GCF(60084,60102) = 18

We will now calculate the prime factors of 60084 and 60102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60084 and 60102.

How to find the GCF of 60084 and 60102?

We will first find the prime factorization of 60084 and 60102. After we will calculate the factors of 60084 and 60102 and find the biggest common factor number .

Step-1: Prime Factorization of 60084

Prime factors of 60084 are 2, 3, 1669. Prime factorization of 60084 in exponential form is:

60084 = 2² × 3² × 1669¹

Step-2: Prime Factorization of 60102

Prime factors of 60102 are 2, 3, 7, 53. Prime factorization of 60102 in exponential form is:

60102 = 2¹ × 3⁴ × 7¹ × 53¹

Step-3: Factors of 60084

List of positive integer factors of 60084 that divides 60084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1669, 3338, 5007, 6676, 10014, 15021, 20028, 30042

Step-4: Factors of 60102

List of positive integer factors of 60102 that divides 60084 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 81, 106, 126, 159, 162, 189, 318, 371, 378, 477, 567, 742, 954, 1113, 1134, 1431, 2226, 2862, 3339, 4293, 6678, 8586, 10017, 20034, 30051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60084 and 60102. The biggest common factor number is the GCF number.
So the greatest common factor 60084 and 60102 is 18.

Also check out the Least Common Multiple of 60084 and 60102