What is the Greatest Common Factor of 60975 and 60984?

Greatest common factor (GCF) of 60975 and 60984 is 9.

GCF(60975,60984) = 9

We will now calculate the prime factors of 60975 and 60984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60975 and 60984.

How to find the GCF of 60975 and 60984?

We will first find the prime factorization of 60975 and 60984. After we will calculate the factors of 60975 and 60984 and find the biggest common factor number .

Step-1: Prime Factorization of 60975

Prime factors of 60975 are 3, 5, 271. Prime factorization of 60975 in exponential form is:

60975 = 3² × 5² × 271¹

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 60975

List of positive integer factors of 60975 that divides 60975 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 271, 813, 1355, 2439, 4065, 6775, 12195, 20325

Step-4: Factors of 60984

List of positive integer factors of 60984 that divides 60975 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 60975 and 60984. The biggest common factor number is the GCF number.
So the greatest common factor 60975 and 60984 is 9.

Also check out the Least Common Multiple of 60975 and 60984