What is the Greatest Common Factor of 46512 and 46521?

Greatest common factor (GCF) of 46512 and 46521 is 9.

GCF(46512,46521) = 9

We will now calculate the prime factors of 46512 and 46521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46512 and 46521.

How to find the GCF of 46512 and 46521?

We will first find the prime factorization of 46512 and 46521. After we will calculate the factors of 46512 and 46521 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 46521

Prime factors of 46521 are 3, 1723. Prime factorization of 46521 in exponential form is:

46521 = 3³ × 1723¹

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 46521

List of positive integer factors of 46521 that divides 46512 without a remainder.

1, 3, 9, 27, 1723, 5169, 15507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46512 and 46521. The biggest common factor number is the GCF number.
So the greatest common factor 46512 and 46521 is 9.

Also check out the Least Common Multiple of 46512 and 46521