What is the Greatest Common Factor of 19330 and 19350?
Greatest common factor (GCF) of 19330 and 19350 is 10.
GCF(19330,19350) = 10
We will now calculate the prime factors of 19330 and 19350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19330 and 19350.
How to find the GCF of 19330 and 19350?
We will first find the prime factorization of 19330 and 19350. After we will calculate the factors of 19330 and 19350 and find the biggest common factor number .
Step-1: Prime Factorization of 19330
Prime factors of 19330 are 2, 5, 1933. Prime factorization of 19330 in exponential form is:
19330 = 21 × 51 × 19331
Step-2: Prime Factorization of 19350
Prime factors of 19350 are 2, 3, 5, 43. Prime factorization of 19350 in exponential form is:
19350 = 21 × 32 × 52 × 431
Step-3: Factors of 19330
List of positive integer factors of 19330 that divides 19330 without a remainder.
1, 2, 5, 10, 1933, 3866, 9665
Step-4: Factors of 19350
List of positive integer factors of 19350 that divides 19330 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 43, 45, 50, 75, 86, 90, 129, 150, 215, 225, 258, 387, 430, 450, 645, 774, 1075, 1290, 1935, 2150, 3225, 3870, 6450, 9675
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 19330 and 19350. The biggest common factor number is the GCF number.
So the greatest common factor 19330 and 19350 is 10.
Also check out the Least Common Multiple of 19330 and 19350
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