What is the Greatest Common Factor of 46784 and 46792?

Greatest common factor (GCF) of 46784 and 46792 is 8.

GCF(46784,46792) = 8

We will now calculate the prime factors of 46784 and 46792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46784 and 46792.

How to find the GCF of 46784 and 46792?

We will first find the prime factorization of 46784 and 46792. After we will calculate the factors of 46784 and 46792 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46792

Prime factors of 46792 are 2, 5849. Prime factorization of 46792 in exponential form is:

46792 = 2³ × 5849¹

Step-3: Factors of 46784

List of positive integer factors of 46784 that divides 46784 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

Step-4: Factors of 46792

List of positive integer factors of 46792 that divides 46784 without a remainder.

1, 2, 4, 8, 5849, 11698, 23396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46784 and 46792. The biggest common factor number is the GCF number.
So the greatest common factor 46784 and 46792 is 8.

Also check out the Least Common Multiple of 46784 and 46792