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What is the Greatest Common Factor of 46233 and 46239?

Greatest common factor (GCF) of 46233 and 46239 is 3.

GCF(46233,46239) = 3

We will now calculate the prime factors of 46233 and 46239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46233 and 46239.

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How to find the GCF of 46233 and 46239?

We will first find the prime factorization of 46233 and 46239. After we will calculate the factors of 46233 and 46239 and find the biggest common factor number .

Step-1: Prime Factorization of 46233

Prime factors of 46233 are 3, 11, 467. Prime factorization of 46233 in exponential form is:

46233 = 32 × 111 × 4671

Step-2: Prime Factorization of 46239

Prime factors of 46239 are 3, 15413. Prime factorization of 46239 in exponential form is:

46239 = 31 × 154131

Step-3: Factors of 46233

List of positive integer factors of 46233 that divides 46233 without a remainder.

1, 3, 9, 11, 33, 99, 467, 1401, 4203, 5137, 15411

Step-4: Factors of 46239

List of positive integer factors of 46239 that divides 46233 without a remainder.

1, 3, 15413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46233 and 46239. The biggest common factor number is the GCF number.
So the greatest common factor 46233 and 46239 is 3.

Also check out the Least Common Multiple of 46233 and 46239