What is the Greatest Common Factor of 46497 and 46512?

Greatest common factor (GCF) of 46497 and 46512 is 3.

GCF(46497,46512) = 3

We will now calculate the prime factors of 46497 and 46512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46497 and 46512.

How to find the GCF of 46497 and 46512?

We will first find the prime factorization of 46497 and 46512. After we will calculate the factors of 46497 and 46512 and find the biggest common factor number .

Step-1: Prime Factorization of 46497

Prime factors of 46497 are 3, 11, 1409. Prime factorization of 46497 in exponential form is:

46497 = 3¹ × 11¹ × 1409¹

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 46497

List of positive integer factors of 46497 that divides 46497 without a remainder.

1, 3, 11, 33, 1409, 4227, 15499

Step-4: Factors of 46512

List of positive integer factors of 46512 that divides 46497 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 46497 and 46512. The biggest common factor number is the GCF number.
So the greatest common factor 46497 and 46512 is 3.

Also check out the Least Common Multiple of 46497 and 46512