What is the Greatest Common Factor of 46764 and 46784?

Greatest common factor (GCF) of 46764 and 46784 is 4.

GCF(46764,46784) = 4

We will now calculate the prime factors of 46764 and 46784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46764 and 46784.

How to find the GCF of 46764 and 46784?

We will first find the prime factorization of 46764 and 46784. After we will calculate the factors of 46764 and 46784 and find the biggest common factor number .

Step-1: Prime Factorization of 46764

Prime factors of 46764 are 2, 3, 433. Prime factorization of 46764 in exponential form is:

46764 = 2² × 3³ × 433¹

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 46764

List of positive integer factors of 46764 that divides 46764 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 433, 866, 1299, 1732, 2598, 3897, 5196, 7794, 11691, 15588, 23382

Step-4: Factors of 46784

List of positive integer factors of 46784 that divides 46764 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 46764 and 46784. The biggest common factor number is the GCF number.
So the greatest common factor 46764 and 46784 is 4.

Also check out the Least Common Multiple of 46764 and 46784