What is the Greatest Common Factor of 46289 and 46303?

Greatest common factor (GCF) of 46289 and 46303 is 1.

GCF(46289,46303) = 1

We will now calculate the prime factors of 46289 and 46303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46289 and 46303.

How to find the GCF of 46289 and 46303?

We will first find the prime factorization of 46289 and 46303. After we will calculate the factors of 46289 and 46303 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 46303

Prime factors of 46303 are 19, 2437. Prime factorization of 46303 in exponential form is:

46303 = 19¹ × 2437¹

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 46303

List of positive integer factors of 46303 that divides 46289 without a remainder.

1, 19, 2437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46289 and 46303. The biggest common factor number is the GCF number.
So the greatest common factor 46289 and 46303 is 1.

Also check out the Least Common Multiple of 46289 and 46303