What is the Greatest Common Factor of 14973 and 14992?
Greatest common factor (GCF) of 14973 and 14992 is 1.
GCF(14973,14992) = 1
We will now calculate the prime factors of 14973 and 14992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14973 and 14992.
How to find the GCF of 14973 and 14992?
We will first find the prime factorization of 14973 and 14992. After we will calculate the factors of 14973 and 14992 and find the biggest common factor number .
Step-1: Prime Factorization of 14973
Prime factors of 14973 are 3, 7, 23, 31. Prime factorization of 14973 in exponential form is:
14973 = 31 × 71 × 231 × 311
Step-2: Prime Factorization of 14992
Prime factors of 14992 are 2, 937. Prime factorization of 14992 in exponential form is:
14992 = 24 × 9371
Step-3: Factors of 14973
List of positive integer factors of 14973 that divides 14973 without a remainder.
1, 3, 7, 21, 23, 31, 69, 93, 161, 217, 483, 651, 713, 2139, 4991
Step-4: Factors of 14992
List of positive integer factors of 14992 that divides 14973 without a remainder.
1, 2, 4, 8, 16, 937, 1874, 3748, 7496
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14973 and 14992. The biggest common factor number is the GCF number.
So the greatest common factor 14973 and 14992 is 1.
Also check out the Least Common Multiple of 14973 and 14992
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