What is the Greatest Common Factor of 46775 and 46784?

Greatest common factor (GCF) of 46775 and 46784 is 1.

GCF(46775,46784) = 1

We will now calculate the prime factors of 46775 and 46784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46775 and 46784.

How to find the GCF of 46775 and 46784?

We will first find the prime factorization of 46775 and 46784. After we will calculate the factors of 46775 and 46784 and find the biggest common factor number .

Step-1: Prime Factorization of 46775

Prime factors of 46775 are 5, 1871. Prime factorization of 46775 in exponential form is:

46775 = 5² × 1871¹

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 46775

List of positive integer factors of 46775 that divides 46775 without a remainder.

1, 5, 25, 1871, 9355

Step-4: Factors of 46784

List of positive integer factors of 46784 that divides 46775 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 46775 and 46784. The biggest common factor number is the GCF number.
So the greatest common factor 46775 and 46784 is 1.

Also check out the Least Common Multiple of 46775 and 46784