What is the Greatest Common Factor of 14873 and 14878?
Greatest common factor (GCF) of 14873 and 14878 is 1.
GCF(14873,14878) = 1
We will now calculate the prime factors of 14873 and 14878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14873 and 14878.
How to find the GCF of 14873 and 14878?
We will first find the prime factorization of 14873 and 14878. After we will calculate the factors of 14873 and 14878 and find the biggest common factor number .
Step-1: Prime Factorization of 14873
Prime factors of 14873 are 107, 139. Prime factorization of 14873 in exponential form is:
14873 = 1071 × 1391
Step-2: Prime Factorization of 14878
Prime factors of 14878 are 2, 43, 173. Prime factorization of 14878 in exponential form is:
14878 = 21 × 431 × 1731
Step-3: Factors of 14873
List of positive integer factors of 14873 that divides 14873 without a remainder.
1, 107, 139
Step-4: Factors of 14878
List of positive integer factors of 14878 that divides 14873 without a remainder.
1, 2, 43, 86, 173, 346, 7439
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14873 and 14878. The biggest common factor number is the GCF number.
So the greatest common factor 14873 and 14878 is 1.
Also check out the Least Common Multiple of 14873 and 14878
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