What is the Greatest Common Factor of 15209 and 15215?
Greatest common factor (GCF) of 15209 and 15215 is 1.
GCF(15209,15215) = 1
We will now calculate the prime factors of 15209 and 15215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15209 and 15215.
How to find the GCF of 15209 and 15215?
We will first find the prime factorization of 15209 and 15215. After we will calculate the factors of 15209 and 15215 and find the biggest common factor number .
Step-1: Prime Factorization of 15209
Prime factors of 15209 are 67, 227. Prime factorization of 15209 in exponential form is:
15209 = 671 × 2271
Step-2: Prime Factorization of 15215
Prime factors of 15215 are 5, 17, 179. Prime factorization of 15215 in exponential form is:
15215 = 51 × 171 × 1791
Step-3: Factors of 15209
List of positive integer factors of 15209 that divides 15209 without a remainder.
1, 67, 227
Step-4: Factors of 15215
List of positive integer factors of 15215 that divides 15209 without a remainder.
1, 5, 17, 85, 179, 895, 3043
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15209 and 15215. The biggest common factor number is the GCF number.
So the greatest common factor 15209 and 15215 is 1.
Also check out the Least Common Multiple of 15209 and 15215
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