What is the Greatest Common Factor of 60966 and 60984?

Greatest common factor (GCF) of 60966 and 60984 is 18.

GCF(60966,60984) = 18

We will now calculate the prime factors of 60966 and 60984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60966 and 60984.

How to find the GCF of 60966 and 60984?

We will first find the prime factorization of 60966 and 60984. After we will calculate the factors of 60966 and 60984 and find the biggest common factor number .

Step-1: Prime Factorization of 60966

Prime factors of 60966 are 2, 3, 1129. Prime factorization of 60966 in exponential form is:

60966 = 2¹ × 3³ × 1129¹

Step-2: Prime Factorization of 60984

Prime factors of 60984 are 2, 3, 7, 11. Prime factorization of 60984 in exponential form is:

60984 = 2³ × 3² × 7¹ × 11²

Step-3: Factors of 60966

List of positive integer factors of 60966 that divides 60966 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1129, 2258, 3387, 6774, 10161, 20322, 30483

Step-4: Factors of 60984

List of positive integer factors of 60984 that divides 60966 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 121, 126, 132, 154, 168, 198, 231, 242, 252, 264, 308, 363, 396, 462, 484, 504, 616, 693, 726, 792, 847, 924, 968, 1089, 1386, 1452, 1694, 1848, 2178, 2541, 2772, 2904, 3388, 4356, 5082, 5544, 6776, 7623, 8712, 10164, 15246, 20328, 30492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60966 and 60984. The biggest common factor number is the GCF number.
So the greatest common factor 60966 and 60984 is 18.

Also check out the Least Common Multiple of 60966 and 60984