What is the Greatest Common Factor of 18406 and 18424?
Greatest common factor (GCF) of 18406 and 18424 is 2.
GCF(18406,18424) = 2
We will now calculate the prime factors of 18406 and 18424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18406 and 18424.
How to find the GCF of 18406 and 18424?
We will first find the prime factorization of 18406 and 18424. After we will calculate the factors of 18406 and 18424 and find the biggest common factor number .
Step-1: Prime Factorization of 18406
Prime factors of 18406 are 2, 9203. Prime factorization of 18406 in exponential form is:
18406 = 21 × 92031
Step-2: Prime Factorization of 18424
Prime factors of 18424 are 2, 7, 47. Prime factorization of 18424 in exponential form is:
18424 = 23 × 72 × 471
Step-3: Factors of 18406
List of positive integer factors of 18406 that divides 18406 without a remainder.
1, 2, 9203
Step-4: Factors of 18424
List of positive integer factors of 18424 that divides 18406 without a remainder.
1, 2, 4, 7, 8, 14, 28, 47, 49, 56, 94, 98, 188, 196, 329, 376, 392, 658, 1316, 2303, 2632, 4606, 9212
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18406 and 18424. The biggest common factor number is the GCF number.
So the greatest common factor 18406 and 18424 is 2.
Also check out the Least Common Multiple of 18406 and 18424
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