What is the Greatest Common Factor of 14374 and 14390?
Greatest common factor (GCF) of 14374 and 14390 is 2.
GCF(14374,14390) = 2
We will now calculate the prime factors of 14374 and 14390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14374 and 14390.
How to find the GCF of 14374 and 14390?
We will first find the prime factorization of 14374 and 14390. After we will calculate the factors of 14374 and 14390 and find the biggest common factor number .
Step-1: Prime Factorization of 14374
Prime factors of 14374 are 2, 7187. Prime factorization of 14374 in exponential form is:
14374 = 21 × 71871
Step-2: Prime Factorization of 14390
Prime factors of 14390 are 2, 5, 1439. Prime factorization of 14390 in exponential form is:
14390 = 21 × 51 × 14391
Step-3: Factors of 14374
List of positive integer factors of 14374 that divides 14374 without a remainder.
1, 2, 7187
Step-4: Factors of 14390
List of positive integer factors of 14390 that divides 14374 without a remainder.
1, 2, 5, 10, 1439, 2878, 7195
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14374 and 14390. The biggest common factor number is the GCF number.
So the greatest common factor 14374 and 14390 is 2.
Also check out the Least Common Multiple of 14374 and 14390
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