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What is the Greatest Common Factor of 88305 and 88323?

Greatest common factor (GCF) of 88305 and 88323 is 3.

GCF(88305,88323) = 3

We will now calculate the prime factors of 88305 and 88323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88305 and 88323.

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How to find the GCF of 88305 and 88323?

We will first find the prime factorization of 88305 and 88323. After we will calculate the factors of 88305 and 88323 and find the biggest common factor number .

Step-1: Prime Factorization of 88305

Prime factors of 88305 are 3, 5, 7, 29. Prime factorization of 88305 in exponential form is:

88305 = 31 × 51 × 71 × 292

Step-2: Prime Factorization of 88323

Prime factors of 88323 are 3, 59, 499. Prime factorization of 88323 in exponential form is:

88323 = 31 × 591 × 4991

Step-3: Factors of 88305

List of positive integer factors of 88305 that divides 88305 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 841, 1015, 2523, 3045, 4205, 5887, 12615, 17661, 29435

Step-4: Factors of 88323

List of positive integer factors of 88323 that divides 88305 without a remainder.

1, 3, 59, 177, 499, 1497, 29441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88305 and 88323. The biggest common factor number is the GCF number.
So the greatest common factor 88305 and 88323 is 3.

Also check out the Least Common Multiple of 88305 and 88323