What is the Greatest Common Factor of 16702 and 16709?
Greatest common factor (GCF) of 16702 and 16709 is 7.
GCF(16702,16709) = 7
We will now calculate the prime factors of 16702 and 16709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16702 and 16709.
How to find the GCF of 16702 and 16709?
We will first find the prime factorization of 16702 and 16709. After we will calculate the factors of 16702 and 16709 and find the biggest common factor number .
Step-1: Prime Factorization of 16702
Prime factors of 16702 are 2, 7, 1193. Prime factorization of 16702 in exponential form is:
16702 = 21 × 71 × 11931
Step-2: Prime Factorization of 16709
Prime factors of 16709 are 7, 11, 31. Prime factorization of 16709 in exponential form is:
16709 = 72 × 111 × 311
Step-3: Factors of 16702
List of positive integer factors of 16702 that divides 16702 without a remainder.
1, 2, 7, 14, 1193, 2386, 8351
Step-4: Factors of 16709
List of positive integer factors of 16709 that divides 16702 without a remainder.
1, 7, 11, 31, 49, 77, 217, 341, 539, 1519, 2387
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16702 and 16709. The biggest common factor number is the GCF number.
So the greatest common factor 16702 and 16709 is 7.
Also check out the Least Common Multiple of 16702 and 16709
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