What is the Greatest Common Factor of 716 and 734?
Greatest common factor (GCF) of 716 and 734 is 2.
GCF(716,734) = 2
We will now calculate the prime factors of 716 and 734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 716 and 734.
How to find the GCF of 716 and 734?
We will first find the prime factorization of 716 and 734. After we will calculate the factors of 716 and 734 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 734
Prime factors of 734 are 2, 367. Prime factorization of 734 in exponential form is:
734 = 21 × 3671
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 734
List of positive integer factors of 734 that divides 716 without a remainder.
1, 2, 367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 716 and 734. The biggest common factor number is the GCF number.
So the greatest common factor 716 and 734 is 2.
Also check out the Least Common Multiple of 716 and 734
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