What is the Greatest Common Factor of 46304 and 46315?

Greatest common factor (GCF) of 46304 and 46315 is 1.

GCF(46304,46315) = 1

We will now calculate the prime factors of 46304 and 46315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46304 and 46315.

How to find the GCF of 46304 and 46315?

We will first find the prime factorization of 46304 and 46315. After we will calculate the factors of 46304 and 46315 and find the biggest common factor number .

Step-1: Prime Factorization of 46304

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

46304 = 2⁵ × 1447¹

Step-2: Prime Factorization of 46315

Prime factors of 46315 are 5, 59, 157. Prime factorization of 46315 in exponential form is:

46315 = 5¹ × 59¹ × 157¹

Step-3: Factors of 46304

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

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

Step-4: Factors of 46315

List of positive integer factors of 46315 that divides 46304 without a remainder.

1, 5, 59, 157, 295, 785, 9263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46304 and 46315. The biggest common factor number is the GCF number.
So the greatest common factor 46304 and 46315 is 1.

Also check out the Least Common Multiple of 46304 and 46315