What is the Greatest Common Factor of 54498 and 54516?

Greatest common factor (GCF) of 54498 and 54516 is 6.

GCF(54498,54516) = 6

We will now calculate the prime factors of 54498 and 54516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54498 and 54516.

How to find the GCF of 54498 and 54516?

We will first find the prime factorization of 54498 and 54516. After we will calculate the factors of 54498 and 54516 and find the biggest common factor number .

Step-1: Prime Factorization of 54498

Prime factors of 54498 are 2, 3, 31, 293. Prime factorization of 54498 in exponential form is:

54498 = 2¹ × 3¹ × 31¹ × 293¹

Step-2: Prime Factorization of 54516

Prime factors of 54516 are 2, 3, 7, 11, 59. Prime factorization of 54516 in exponential form is:

54516 = 2² × 3¹ × 7¹ × 11¹ × 59¹

Step-3: Factors of 54498

List of positive integer factors of 54498 that divides 54498 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 293, 586, 879, 1758, 9083, 18166, 27249

Step-4: Factors of 54516

List of positive integer factors of 54516 that divides 54498 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 59, 66, 77, 84, 118, 132, 154, 177, 231, 236, 308, 354, 413, 462, 649, 708, 826, 924, 1239, 1298, 1652, 1947, 2478, 2596, 3894, 4543, 4956, 7788, 9086, 13629, 18172, 27258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54498 and 54516. The biggest common factor number is the GCF number.
So the greatest common factor 54498 and 54516 is 6.

Also check out the Least Common Multiple of 54498 and 54516