What is the Greatest Common Factor of 709 and 716?
Greatest common factor (GCF) of 709 and 716 is 1.
GCF(709,716) = 1
We will now calculate the prime factors of 709 and 716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 709 and 716.
How to find the GCF of 709 and 716?
We will first find the prime factorization of 709 and 716. After we will calculate the factors of 709 and 716 and find the biggest common factor number .
Step-1: Prime Factorization of 709
Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:
709 = 7091
Step-2: Prime Factorization of 716
Prime factors of 716 are 2, 179. Prime factorization of 716 in exponential form is:
716 = 22 × 1791
Step-3: Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1
Step-4: Factors of 716
List of positive integer factors of 716 that divides 709 without a remainder.
1, 2, 4, 179, 358
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 709 and 716. The biggest common factor number is the GCF number.
So the greatest common factor 709 and 716 is 1.
Also check out the Least Common Multiple of 709 and 716
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Related Greatest Common Factors of 716
- GCF of 716 and 720
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