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What is the Greatest Common Factor of 30330 and 30349?

Greatest common factor (GCF) of 30330 and 30349 is 1.

GCF(30330,30349) = 1

We will now calculate the prime factors of 30330 and 30349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30330 and 30349.

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How to find the GCF of 30330 and 30349?

We will first find the prime factorization of 30330 and 30349. After we will calculate the factors of 30330 and 30349 and find the biggest common factor number .

Step-1: Prime Factorization of 30330

Prime factors of 30330 are 2, 3, 5, 337. Prime factorization of 30330 in exponential form is:

30330 = 21 × 32 × 51 × 3371

Step-2: Prime Factorization of 30349

Prime factors of 30349 are 11, 31, 89. Prime factorization of 30349 in exponential form is:

30349 = 111 × 311 × 891

Step-3: Factors of 30330

List of positive integer factors of 30330 that divides 30330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 337, 674, 1011, 1685, 2022, 3033, 3370, 5055, 6066, 10110, 15165

Step-4: Factors of 30349

List of positive integer factors of 30349 that divides 30330 without a remainder.

1, 11, 31, 89, 341, 979, 2759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30330 and 30349. The biggest common factor number is the GCF number.
So the greatest common factor 30330 and 30349 is 1.

Also check out the Least Common Multiple of 30330 and 30349