What is the Greatest Common Factor of 14375 and 14393?
Greatest common factor (GCF) of 14375 and 14393 is 1.
GCF(14375,14393) = 1
We will now calculate the prime factors of 14375 and 14393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14375 and 14393.
How to find the GCF of 14375 and 14393?
We will first find the prime factorization of 14375 and 14393. After we will calculate the factors of 14375 and 14393 and find the biggest common factor number .
Step-1: Prime Factorization of 14375
Prime factors of 14375 are 5, 23. Prime factorization of 14375 in exponential form is:
14375 = 54 × 231
Step-2: Prime Factorization of 14393
Prime factors of 14393 are 37, 389. Prime factorization of 14393 in exponential form is:
14393 = 371 × 3891
Step-3: Factors of 14375
List of positive integer factors of 14375 that divides 14375 without a remainder.
1, 5, 23, 25, 115, 125, 575, 625, 2875
Step-4: Factors of 14393
List of positive integer factors of 14393 that divides 14375 without a remainder.
1, 37, 389
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14375 and 14393. The biggest common factor number is the GCF number.
So the greatest common factor 14375 and 14393 is 1.
Also check out the Least Common Multiple of 14375 and 14393
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