What is the Greatest Common Factor of 17206 and 17213?
Greatest common factor (GCF) of 17206 and 17213 is 7.
GCF(17206,17213) = 7
We will now calculate the prime factors of 17206 and 17213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17206 and 17213.
How to find the GCF of 17206 and 17213?
We will first find the prime factorization of 17206 and 17213. After we will calculate the factors of 17206 and 17213 and find the biggest common factor number .
Step-1: Prime Factorization of 17206
Prime factors of 17206 are 2, 7, 1229. Prime factorization of 17206 in exponential form is:
17206 = 21 × 71 × 12291
Step-2: Prime Factorization of 17213
Prime factors of 17213 are 7, 2459. Prime factorization of 17213 in exponential form is:
17213 = 71 × 24591
Step-3: Factors of 17206
List of positive integer factors of 17206 that divides 17206 without a remainder.
1, 2, 7, 14, 1229, 2458, 8603
Step-4: Factors of 17213
List of positive integer factors of 17213 that divides 17206 without a remainder.
1, 7, 2459
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17206 and 17213. The biggest common factor number is the GCF number.
So the greatest common factor 17206 and 17213 is 7.
Also check out the Least Common Multiple of 17206 and 17213
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