What is the Greatest Common Factor of 46512 and 46528?

Greatest common factor (GCF) of 46512 and 46528 is 16.

GCF(46512,46528) = 16

We will now calculate the prime factors of 46512 and 46528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46512 and 46528.

How to find the GCF of 46512 and 46528?

We will first find the prime factorization of 46512 and 46528. After we will calculate the factors of 46512 and 46528 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 46528

Prime factors of 46528 are 2, 727. Prime factorization of 46528 in exponential form is:

46528 = 2⁶ × 727¹

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 46528

List of positive integer factors of 46528 that divides 46512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 727, 1454, 2908, 5816, 11632, 23264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46512 and 46528. The biggest common factor number is the GCF number.
So the greatest common factor 46512 and 46528 is 16.

Also check out the Least Common Multiple of 46512 and 46528