What is the Greatest Common Factor of 27209 and 27229?
Greatest common factor (GCF) of 27209 and 27229 is 1.
GCF(27209,27229) = 1
We will now calculate the prime factors of 27209 and 27229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27209 and 27229.
How to find the GCF of 27209 and 27229?
We will first find the prime factorization of 27209 and 27229. After we will calculate the factors of 27209 and 27229 and find the biggest common factor number .
Step-1: Prime Factorization of 27209
Prime factors of 27209 are 7, 13, 23. Prime factorization of 27209 in exponential form is:
27209 = 71 × 132 × 231
Step-2: Prime Factorization of 27229
Prime factors of 27229 are 73, 373. Prime factorization of 27229 in exponential form is:
27229 = 731 × 3731
Step-3: Factors of 27209
List of positive integer factors of 27209 that divides 27209 without a remainder.
1, 7, 13, 23, 91, 161, 169, 299, 1183, 2093, 3887
Step-4: Factors of 27229
List of positive integer factors of 27229 that divides 27209 without a remainder.
1, 73, 373
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27209 and 27229. The biggest common factor number is the GCF number.
So the greatest common factor 27209 and 27229 is 1.
Also check out the Least Common Multiple of 27209 and 27229
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