What is the Greatest Common Factor of 716 and 729?
Greatest common factor (GCF) of 716 and 729 is 1.
GCF(716,729) = 1
We will now calculate the prime factors of 716 and 729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 716 and 729.
How to find the GCF of 716 and 729?
We will first find the prime factorization of 716 and 729. After we will calculate the factors of 716 and 729 and find the biggest common factor number .
Step-1: Prime Factorization of 716
Prime factors of 716 are 2, 179. Prime factorization of 716 in exponential form is:
716 = 22 × 1791
Step-2: Prime Factorization of 729
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Step-3: Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358
Step-4: Factors of 729
List of positive integer factors of 729 that divides 716 without a remainder.
1, 3, 9, 27, 81, 243
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 716 and 729. The biggest common factor number is the GCF number.
So the greatest common factor 716 and 729 is 1.
Also check out the Least Common Multiple of 716 and 729
Related Greatest Common Factors of 716
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Related Greatest Common Factors of 729
- GCF of 729 and 733
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- GCF of 729 and 744
- GCF of 729 and 745
- GCF of 729 and 746
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