What is the Greatest Common Factor of 46289 and 46302?

Greatest common factor (GCF) of 46289 and 46302 is 1.

GCF(46289,46302) = 1

We will now calculate the prime factors of 46289 and 46302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46289 and 46302.

How to find the GCF of 46289 and 46302?

We will first find the prime factorization of 46289 and 46302. After we will calculate the factors of 46289 and 46302 and find the biggest common factor number .

Step-1: Prime Factorization of 46289

Prime factors of 46289 are 41, 1129. Prime factorization of 46289 in exponential form is:

46289 = 41¹ × 1129¹

Step-2: Prime Factorization of 46302

Prime factors of 46302 are 2, 3, 7717. Prime factorization of 46302 in exponential form is:

46302 = 2¹ × 3¹ × 7717¹

Step-3: Factors of 46289

List of positive integer factors of 46289 that divides 46289 without a remainder.

1, 41, 1129

Step-4: Factors of 46302

List of positive integer factors of 46302 that divides 46289 without a remainder.

1, 2, 3, 6, 7717, 15434, 23151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46289 and 46302. The biggest common factor number is the GCF number.
So the greatest common factor 46289 and 46302 is 1.

Also check out the Least Common Multiple of 46289 and 46302