What is the Greatest Common Factor of 18312 and 18326?
Greatest common factor (GCF) of 18312 and 18326 is 14.
GCF(18312,18326) = 14
We will now calculate the prime factors of 18312 and 18326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18312 and 18326.
How to find the GCF of 18312 and 18326?
We will first find the prime factorization of 18312 and 18326. After we will calculate the factors of 18312 and 18326 and find the biggest common factor number .
Step-1: Prime Factorization of 18312
Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:
18312 = 23 × 31 × 71 × 1091
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 18312
List of positive integer factors of 18312 that divides 18312 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 109, 168, 218, 327, 436, 654, 763, 872, 1308, 1526, 2289, 2616, 3052, 4578, 6104, 9156
Step-4: Factors of 18326
List of positive integer factors of 18326 that divides 18312 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 18312 and 18326. The biggest common factor number is the GCF number.
So the greatest common factor 18312 and 18326 is 14.
Also check out the Least Common Multiple of 18312 and 18326
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Related Greatest Common Factors of 18326
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