What is the Greatest Common Factor of 210 and 215?
Greatest common factor (GCF) of 210 and 215 is 5.
GCF(210,215) = 5
We will now calculate the prime factors of 210 and 215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 210 and 215.
How to find the GCF of 210 and 215?
We will first find the prime factorization of 210 and 215. After we will calculate the factors of 210 and 215 and find the biggest common factor number .
Step-1: Prime Factorization of 210
Prime factors of 210 are 2, 3, 5, 7. Prime factorization of 210 in exponential form is:
210 = 21 × 31 × 51 × 71
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 210
List of positive integer factors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105
Step-4: Factors of 215
List of positive integer factors of 215 that divides 210 without a remainder.
1, 5, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 210 and 215. The biggest common factor number is the GCF number.
So the greatest common factor 210 and 215 is 5.
Also check out the Least Common Multiple of 210 and 215
Related Greatest Common Factors of 210
- GCF of 210 and 214
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Related Greatest Common Factors of 215
- GCF of 215 and 219
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