What is the Greatest Common Factor of 46784 and 46801?

Greatest common factor (GCF) of 46784 and 46801 is 17.

GCF(46784,46801) = 17

We will now calculate the prime factors of 46784 and 46801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46784 and 46801.

How to find the GCF of 46784 and 46801?

We will first find the prime factorization of 46784 and 46801. After we will calculate the factors of 46784 and 46801 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 46801

Prime factors of 46801 are 17, 2753. Prime factorization of 46801 in exponential form is:

46801 = 17¹ × 2753¹

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 46801

List of positive integer factors of 46801 that divides 46784 without a remainder.

1, 17, 2753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46784 and 46801. The biggest common factor number is the GCF number.
So the greatest common factor 46784 and 46801 is 17.

Also check out the Least Common Multiple of 46784 and 46801