What is the Greatest Common Factor of 60973 and 60984?

Greatest common factor (GCF) of 60973 and 60984 is 11.

GCF(60973,60984) = 11

We will now calculate the prime factors of 60973 and 60984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60973 and 60984.

How to find the GCF of 60973 and 60984?

We will first find the prime factorization of 60973 and 60984. After we will calculate the factors of 60973 and 60984 and find the biggest common factor number .

Step-1: Prime Factorization of 60973

Prime factors of 60973 are 11, 23, 241. Prime factorization of 60973 in exponential form is:

60973 = 11¹ × 23¹ × 241¹

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 60973

List of positive integer factors of 60973 that divides 60973 without a remainder.

1, 11, 23, 241, 253, 2651, 5543

Step-4: Factors of 60984

List of positive integer factors of 60984 that divides 60973 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 60973 and 60984. The biggest common factor number is the GCF number.
So the greatest common factor 60973 and 60984 is 11.

Also check out the Least Common Multiple of 60973 and 60984