What is the Greatest Common Factor of 46496 and 46512?

Greatest common factor (GCF) of 46496 and 46512 is 16.

GCF(46496,46512) = 16

We will now calculate the prime factors of 46496 and 46512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46496 and 46512.

How to find the GCF of 46496 and 46512?

We will first find the prime factorization of 46496 and 46512. After we will calculate the factors of 46496 and 46512 and find the biggest common factor number .

Step-1: Prime Factorization of 46496

Prime factors of 46496 are 2, 1453. Prime factorization of 46496 in exponential form is:

46496 = 2⁵ × 1453¹

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 46496

List of positive integer factors of 46496 that divides 46496 without a remainder.

1, 2, 4, 8, 16, 32, 1453, 2906, 5812, 11624, 23248

Step-4: Factors of 46512

List of positive integer factors of 46512 that divides 46496 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 46496 and 46512. The biggest common factor number is the GCF number.
So the greatest common factor 46496 and 46512 is 16.

Also check out the Least Common Multiple of 46496 and 46512