What is the Greatest Common Factor of 46512 and 46529?

Greatest common factor (GCF) of 46512 and 46529 is 17.

GCF(46512,46529) = 17

We will now calculate the prime factors of 46512 and 46529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46512 and 46529.

How to find the GCF of 46512 and 46529?

We will first find the prime factorization of 46512 and 46529. After we will calculate the factors of 46512 and 46529 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 46529

Prime factors of 46529 are 7, 17, 23. Prime factorization of 46529 in exponential form is:

46529 = 7¹ × 17² × 23¹

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 46529

List of positive integer factors of 46529 that divides 46512 without a remainder.

1, 7, 17, 23, 119, 161, 289, 391, 2023, 2737, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46512 and 46529. The biggest common factor number is the GCF number.
So the greatest common factor 46512 and 46529 is 17.

Also check out the Least Common Multiple of 46512 and 46529