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What is the Greatest Common Factor of 45323 and 45342?

Greatest common factor (GCF) of 45323 and 45342 is 1.

GCF(45323,45342) = 1

We will now calculate the prime factors of 45323 and 45342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45323 and 45342.

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How to find the GCF of 45323 and 45342?

We will first find the prime factorization of 45323 and 45342. After we will calculate the factors of 45323 and 45342 and find the biggest common factor number .

Step-1: Prime Factorization of 45323

Prime factors of 45323 are 61, 743. Prime factorization of 45323 in exponential form is:

45323 = 611 × 7431

Step-2: Prime Factorization of 45342

Prime factors of 45342 are 2, 3, 11, 229. Prime factorization of 45342 in exponential form is:

45342 = 21 × 32 × 111 × 2291

Step-3: Factors of 45323

List of positive integer factors of 45323 that divides 45323 without a remainder.

1, 61, 743

Step-4: Factors of 45342

List of positive integer factors of 45342 that divides 45323 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 229, 458, 687, 1374, 2061, 2519, 4122, 5038, 7557, 15114, 22671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45323 and 45342. The biggest common factor number is the GCF number.
So the greatest common factor 45323 and 45342 is 1.

Also check out the Least Common Multiple of 45323 and 45342