What is the Greatest Common Factor of 9218 and 9223?
Greatest common factor (GCF) of 9218 and 9223 is 1.
GCF(9218,9223) = 1
We will now calculate the prime factors of 9218 and 9223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9218 and 9223.
How to find the GCF of 9218 and 9223?
We will first find the prime factorization of 9218 and 9223. After we will calculate the factors of 9218 and 9223 and find the biggest common factor number .
Step-1: Prime Factorization of 9218
Prime factors of 9218 are 2, 11, 419. Prime factorization of 9218 in exponential form is:
9218 = 21 × 111 × 4191
Step-2: Prime Factorization of 9223
Prime factors of 9223 are 23, 401. Prime factorization of 9223 in exponential form is:
9223 = 231 × 4011
Step-3: Factors of 9218
List of positive integer factors of 9218 that divides 9218 without a remainder.
1, 2, 11, 22, 419, 838, 4609
Step-4: Factors of 9223
List of positive integer factors of 9223 that divides 9218 without a remainder.
1, 23, 401
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9218 and 9223. The biggest common factor number is the GCF number.
So the greatest common factor 9218 and 9223 is 1.
Also check out the Least Common Multiple of 9218 and 9223
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