What is the Greatest Common Factor of 46512 and 46530?

Greatest common factor (GCF) of 46512 and 46530 is 18.

GCF(46512,46530) = 18

We will now calculate the prime factors of 46512 and 46530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46512 and 46530.

How to find the GCF of 46512 and 46530?

We will first find the prime factorization of 46512 and 46530. After we will calculate the factors of 46512 and 46530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46530

Prime factors of 46530 are 2, 3, 5, 11, 47. Prime factorization of 46530 in exponential form is:

46530 = 2¹ × 3² × 5¹ × 11¹ × 47¹

Step-3: Factors of 46512

List of positive integer factors of 46512 that divides 46512 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

Step-4: Factors of 46530

List of positive integer factors of 46530 that divides 46512 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 47, 55, 66, 90, 94, 99, 110, 141, 165, 198, 235, 282, 330, 423, 470, 495, 517, 705, 846, 990, 1034, 1410, 1551, 2115, 2585, 3102, 4230, 4653, 5170, 7755, 9306, 15510, 23265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46512 and 46530. The biggest common factor number is the GCF number.
So the greatest common factor 46512 and 46530 is 18.

Also check out the Least Common Multiple of 46512 and 46530