What is the Greatest Common Factor of 46494 and 46512?

Greatest common factor (GCF) of 46494 and 46512 is 18.

GCF(46494,46512) = 18

We will now calculate the prime factors of 46494 and 46512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46494 and 46512.

How to find the GCF of 46494 and 46512?

We will first find the prime factorization of 46494 and 46512. After we will calculate the factors of 46494 and 46512 and find the biggest common factor number .

Step-1: Prime Factorization of 46494

Prime factors of 46494 are 2, 3, 7, 41. Prime factorization of 46494 in exponential form is:

46494 = 2¹ × 3⁴ × 7¹ × 41¹

Step-2: Prime Factorization of 46512

Prime factors of 46512 are 2, 3, 17, 19. Prime factorization of 46512 in exponential form is:

46512 = 2⁴ × 3² × 17¹ × 19¹

Step-3: Factors of 46494

List of positive integer factors of 46494 that divides 46494 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 41, 42, 54, 63, 81, 82, 123, 126, 162, 189, 246, 287, 369, 378, 567, 574, 738, 861, 1107, 1134, 1722, 2214, 2583, 3321, 5166, 6642, 7749, 15498, 23247

Step-4: Factors of 46512

List of positive integer factors of 46512 that divides 46494 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 19, 24, 34, 36, 38, 48, 51, 57, 68, 72, 76, 102, 114, 136, 144, 152, 153, 171, 204, 228, 272, 304, 306, 323, 342, 408, 456, 612, 646, 684, 816, 912, 969, 1224, 1292, 1368, 1938, 2448, 2584, 2736, 2907, 3876, 5168, 5814, 7752, 11628, 15504, 23256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46494 and 46512. The biggest common factor number is the GCF number.
So the greatest common factor 46494 and 46512 is 18.

Also check out the Least Common Multiple of 46494 and 46512