What is the Greatest Common Factor of 46767 and 46784?

Greatest common factor (GCF) of 46767 and 46784 is 17.

GCF(46767,46784) = 17

We will now calculate the prime factors of 46767 and 46784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46767 and 46784.

How to find the GCF of 46767 and 46784?

We will first find the prime factorization of 46767 and 46784. After we will calculate the factors of 46767 and 46784 and find the biggest common factor number .

Step-1: Prime Factorization of 46767

Prime factors of 46767 are 3, 7, 17, 131. Prime factorization of 46767 in exponential form is:

46767 = 3¹ × 7¹ × 17¹ × 131¹

Step-2: Prime Factorization of 46784

Prime factors of 46784 are 2, 17, 43. Prime factorization of 46784 in exponential form is:

46784 = 2⁶ × 17¹ × 43¹

Step-3: Factors of 46767

List of positive integer factors of 46767 that divides 46767 without a remainder.

1, 3, 7, 17, 21, 51, 119, 131, 357, 393, 917, 2227, 2751, 6681, 15589

Step-4: Factors of 46784

List of positive integer factors of 46784 that divides 46767 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 43, 64, 68, 86, 136, 172, 272, 344, 544, 688, 731, 1088, 1376, 1462, 2752, 2924, 5848, 11696, 23392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46767 and 46784. The biggest common factor number is the GCF number.
So the greatest common factor 46767 and 46784 is 17.

Also check out the Least Common Multiple of 46767 and 46784