What is the Greatest Common Factor of 204 and 215?
Greatest common factor (GCF) of 204 and 215 is 1.
GCF(204,215) = 1
We will now calculate the prime factors of 204 and 215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 204 and 215.
How to find the GCF of 204 and 215?
We will first find the prime factorization of 204 and 215. After we will calculate the factors of 204 and 215 and find the biggest common factor number .
Step-1: Prime Factorization of 204
Prime factors of 204 are 2, 3, 17. Prime factorization of 204 in exponential form is:
204 = 22 × 31 × 171
Step-2: Prime Factorization of 215
Prime factors of 215 are 5, 43. Prime factorization of 215 in exponential form is:
215 = 51 × 431
Step-3: Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102
Step-4: Factors of 215
List of positive integer factors of 215 that divides 204 without a remainder.
1, 5, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 204 and 215. The biggest common factor number is the GCF number.
So the greatest common factor 204 and 215 is 1.
Also check out the Least Common Multiple of 204 and 215
Related Greatest Common Factors of 204
- GCF of 204 and 208
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Related Greatest Common Factors of 215
- GCF of 215 and 219
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- GCF of 215 and 232
- GCF of 215 and 233
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- GCF of 215 and 235