What is the Greatest Common Factor of 46276 and 46289?

Greatest common factor (GCF) of 46276 and 46289 is 1.

GCF(46276,46289) = 1

We will now calculate the prime factors of 46276 and 46289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46276 and 46289.

How to find the GCF of 46276 and 46289?

We will first find the prime factorization of 46276 and 46289. After we will calculate the factors of 46276 and 46289 and find the biggest common factor number .

Step-1: Prime Factorization of 46276

Prime factors of 46276 are 2, 23, 503. Prime factorization of 46276 in exponential form is:

46276 = 2² × 23¹ × 503¹

Step-2: Prime Factorization of 46289

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

46289 = 41¹ × 1129¹

Step-3: Factors of 46276

List of positive integer factors of 46276 that divides 46276 without a remainder.

1, 2, 4, 23, 46, 92, 503, 1006, 2012, 11569, 23138

Step-4: Factors of 46289

List of positive integer factors of 46289 that divides 46276 without a remainder.

1, 41, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46276 and 46289. The biggest common factor number is the GCF number.
So the greatest common factor 46276 and 46289 is 1.

Also check out the Least Common Multiple of 46276 and 46289