What is the Greatest Common Factor of 716 and 724?
Greatest common factor (GCF) of 716 and 724 is 4.
GCF(716,724) = 4
We will now calculate the prime factors of 716 and 724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 716 and 724.
How to find the GCF of 716 and 724?
We will first find the prime factorization of 716 and 724. After we will calculate the factors of 716 and 724 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 724
Prime factors of 724 are 2, 181. Prime factorization of 724 in exponential form is:
724 = 22 × 1811
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 724
List of positive integer factors of 724 that divides 716 without a remainder.
1, 2, 4, 181, 362
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 716 and 724. The biggest common factor number is the GCF number.
So the greatest common factor 716 and 724 is 4.
Also check out the Least Common Multiple of 716 and 724
Related Greatest Common Factors of 716
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Related Greatest Common Factors of 724
- GCF of 724 and 728
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- GCF of 724 and 739
- GCF of 724 and 740
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