What is the Greatest Common Factor of 18319 and 18326?
Greatest common factor (GCF) of 18319 and 18326 is 7.
GCF(18319,18326) = 7
We will now calculate the prime factors of 18319 and 18326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18319 and 18326.
How to find the GCF of 18319 and 18326?
We will first find the prime factorization of 18319 and 18326. After we will calculate the factors of 18319 and 18326 and find the biggest common factor number .
Step-1: Prime Factorization of 18319
Prime factors of 18319 are 7, 2617. Prime factorization of 18319 in exponential form is:
18319 = 71 × 26171
Step-2: Prime Factorization of 18326
Prime factors of 18326 are 2, 7, 11, 17. Prime factorization of 18326 in exponential form is:
18326 = 21 × 72 × 111 × 171
Step-3: Factors of 18319
List of positive integer factors of 18319 that divides 18319 without a remainder.
1, 7, 2617
Step-4: Factors of 18326
List of positive integer factors of 18326 that divides 18319 without a remainder.
1, 2, 7, 11, 14, 17, 22, 34, 49, 77, 98, 119, 154, 187, 238, 374, 539, 833, 1078, 1309, 1666, 2618, 9163
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18319 and 18326. The biggest common factor number is the GCF number.
So the greatest common factor 18319 and 18326 is 7.
Also check out the Least Common Multiple of 18319 and 18326
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