What is the Greatest Common Factor of 14494 and 14509?
Greatest common factor (GCF) of 14494 and 14509 is 1.
GCF(14494,14509) = 1
We will now calculate the prime factors of 14494 and 14509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14494 and 14509.
How to find the GCF of 14494 and 14509?
We will first find the prime factorization of 14494 and 14509. After we will calculate the factors of 14494 and 14509 and find the biggest common factor number .
Step-1: Prime Factorization of 14494
Prime factors of 14494 are 2, 7247. Prime factorization of 14494 in exponential form is:
14494 = 21 × 72471
Step-2: Prime Factorization of 14509
Prime factors of 14509 are 11, 1319. Prime factorization of 14509 in exponential form is:
14509 = 111 × 13191
Step-3: Factors of 14494
List of positive integer factors of 14494 that divides 14494 without a remainder.
1, 2, 7247
Step-4: Factors of 14509
List of positive integer factors of 14509 that divides 14494 without a remainder.
1, 11, 1319
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14494 and 14509. The biggest common factor number is the GCF number.
So the greatest common factor 14494 and 14509 is 1.
Also check out the Least Common Multiple of 14494 and 14509
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