What is the Greatest Common Factor of 14376 and 14391?
Greatest common factor (GCF) of 14376 and 14391 is 3.
GCF(14376,14391) = 3
We will now calculate the prime factors of 14376 and 14391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14376 and 14391.
How to find the GCF of 14376 and 14391?
We will first find the prime factorization of 14376 and 14391. After we will calculate the factors of 14376 and 14391 and find the biggest common factor number .
Step-1: Prime Factorization of 14376
Prime factors of 14376 are 2, 3, 599. Prime factorization of 14376 in exponential form is:
14376 = 23 × 31 × 5991
Step-2: Prime Factorization of 14391
Prime factors of 14391 are 3, 13, 41. Prime factorization of 14391 in exponential form is:
14391 = 33 × 131 × 411
Step-3: Factors of 14376
List of positive integer factors of 14376 that divides 14376 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 599, 1198, 1797, 2396, 3594, 4792, 7188
Step-4: Factors of 14391
List of positive integer factors of 14391 that divides 14376 without a remainder.
1, 3, 9, 13, 27, 39, 41, 117, 123, 351, 369, 533, 1107, 1599, 4797
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14376 and 14391. The biggest common factor number is the GCF number.
So the greatest common factor 14376 and 14391 is 3.
Also check out the Least Common Multiple of 14376 and 14391
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