What is the Greatest Common Factor of 46291 and 46304?

Greatest common factor (GCF) of 46291 and 46304 is 1.

GCF(46291,46304) = 1

We will now calculate the prime factors of 46291 and 46304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46291 and 46304.

How to find the GCF of 46291 and 46304?

We will first find the prime factorization of 46291 and 46304. After we will calculate the factors of 46291 and 46304 and find the biggest common factor number .

Step-1: Prime Factorization of 46291

Prime factors of 46291 are 7, 17, 389. Prime factorization of 46291 in exponential form is:

46291 = 7¹ × 17¹ × 389¹

Step-2: Prime Factorization of 46304

Prime factors of 46304 are 2, 1447. Prime factorization of 46304 in exponential form is:

46304 = 2⁵ × 1447¹

Step-3: Factors of 46291

List of positive integer factors of 46291 that divides 46291 without a remainder.

1, 7, 17, 119, 389, 2723, 6613

Step-4: Factors of 46304

List of positive integer factors of 46304 that divides 46291 without a remainder.

1, 2, 4, 8, 16, 32, 1447, 2894, 5788, 11576, 23152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46291 and 46304. The biggest common factor number is the GCF number.
So the greatest common factor 46291 and 46304 is 1.

Also check out the Least Common Multiple of 46291 and 46304