What is the Greatest Common Factor of 60984 and 60996?

Greatest common factor (GCF) of 60984 and 60996 is 12.

GCF(60984,60996) = 12

We will now calculate the prime factors of 60984 and 60996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60984 and 60996.

How to find the GCF of 60984 and 60996?

We will first find the prime factorization of 60984 and 60996. After we will calculate the factors of 60984 and 60996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60996

Prime factors of 60996 are 2, 3, 13, 17, 23. Prime factorization of 60996 in exponential form is:

60996 = 2² × 3¹ × 13¹ × 17¹ × 23¹

Step-3: Factors of 60984

List of positive integer factors of 60984 that divides 60984 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

Step-4: Factors of 60996

List of positive integer factors of 60996 that divides 60984 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 23, 26, 34, 39, 46, 51, 52, 68, 69, 78, 92, 102, 138, 156, 204, 221, 276, 299, 391, 442, 598, 663, 782, 884, 897, 1173, 1196, 1326, 1564, 1794, 2346, 2652, 3588, 4692, 5083, 10166, 15249, 20332, 30498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60984 and 60996. The biggest common factor number is the GCF number.
So the greatest common factor 60984 and 60996 is 12.

Also check out the Least Common Multiple of 60984 and 60996