What is the Greatest Common Factor of 60972 and 60984?

Greatest common factor (GCF) of 60972 and 60984 is 12.

GCF(60972,60984) = 12

We will now calculate the prime factors of 60972 and 60984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60972 and 60984.

How to find the GCF of 60972 and 60984?

We will first find the prime factorization of 60972 and 60984. After we will calculate the factors of 60972 and 60984 and find the biggest common factor number .

Step-1: Prime Factorization of 60972

Prime factors of 60972 are 2, 3, 5081. Prime factorization of 60972 in exponential form is:

60972 = 2² × 3¹ × 5081¹

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 60972

List of positive integer factors of 60972 that divides 60972 without a remainder.

1, 2, 3, 4, 6, 12, 5081, 10162, 15243, 20324, 30486

Step-4: Factors of 60984

List of positive integer factors of 60984 that divides 60972 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 60972 and 60984. The biggest common factor number is the GCF number.
So the greatest common factor 60972 and 60984 is 12.

Also check out the Least Common Multiple of 60972 and 60984