What is the Greatest Common Factor of 16716 and 16722?
Greatest common factor (GCF) of 16716 and 16722 is 6.
GCF(16716,16722) = 6
We will now calculate the prime factors of 16716 and 16722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16716 and 16722.
How to find the GCF of 16716 and 16722?
We will first find the prime factorization of 16716 and 16722. After we will calculate the factors of 16716 and 16722 and find the biggest common factor number .
Step-1: Prime Factorization of 16716
Prime factors of 16716 are 2, 3, 7, 199. Prime factorization of 16716 in exponential form is:
16716 = 22 × 31 × 71 × 1991
Step-2: Prime Factorization of 16722
Prime factors of 16722 are 2, 3, 929. Prime factorization of 16722 in exponential form is:
16722 = 21 × 32 × 9291
Step-3: Factors of 16716
List of positive integer factors of 16716 that divides 16716 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 199, 398, 597, 796, 1194, 1393, 2388, 2786, 4179, 5572, 8358
Step-4: Factors of 16722
List of positive integer factors of 16722 that divides 16716 without a remainder.
1, 2, 3, 6, 9, 18, 929, 1858, 2787, 5574, 8361
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16716 and 16722. The biggest common factor number is the GCF number.
So the greatest common factor 16716 and 16722 is 6.
Also check out the Least Common Multiple of 16716 and 16722
Related Greatest Common Factors of 16716
- GCF of 16716 and 16720
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Related Greatest Common Factors of 16722
- GCF of 16722 and 16726
- GCF of 16722 and 16727
- GCF of 16722 and 16728
- GCF of 16722 and 16729
- GCF of 16722 and 16730
- GCF of 16722 and 16731
- GCF of 16722 and 16732
- GCF of 16722 and 16733
- GCF of 16722 and 16734
- GCF of 16722 and 16735
- GCF of 16722 and 16736
- GCF of 16722 and 16737
- GCF of 16722 and 16738
- GCF of 16722 and 16739
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