What is the Greatest Common Factor of 19318 and 19338?
Greatest common factor (GCF) of 19318 and 19338 is 2.
GCF(19318,19338) = 2
We will now calculate the prime factors of 19318 and 19338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19318 and 19338.
How to find the GCF of 19318 and 19338?
We will first find the prime factorization of 19318 and 19338. After we will calculate the factors of 19318 and 19338 and find the biggest common factor number .
Step-1: Prime Factorization of 19318
Prime factors of 19318 are 2, 13, 743. Prime factorization of 19318 in exponential form is:
19318 = 21 × 131 × 7431
Step-2: Prime Factorization of 19338
Prime factors of 19338 are 2, 3, 11, 293. Prime factorization of 19338 in exponential form is:
19338 = 21 × 31 × 111 × 2931
Step-3: Factors of 19318
List of positive integer factors of 19318 that divides 19318 without a remainder.
1, 2, 13, 26, 743, 1486, 9659
Step-4: Factors of 19338
List of positive integer factors of 19338 that divides 19318 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 293, 586, 879, 1758, 3223, 6446, 9669
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 19318 and 19338. The biggest common factor number is the GCF number.
So the greatest common factor 19318 and 19338 is 2.
Also check out the Least Common Multiple of 19318 and 19338
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