What is the Greatest Common Factor of 713 and 720?
Greatest common factor (GCF) of 713 and 720 is 1.
GCF(713,720) = 1
We will now calculate the prime factors of 713 and 720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 713 and 720.
How to find the GCF of 713 and 720?
We will first find the prime factorization of 713 and 720. After we will calculate the factors of 713 and 720 and find the biggest common factor number .
Step-1: Prime Factorization of 713
Prime factors of 713 are 23, 31. Prime factorization of 713 in exponential form is:
713 = 231 × 311
Step-2: Prime Factorization of 720
Prime factors of 720 are 2, 3, 5. Prime factorization of 720 in exponential form is:
720 = 24 × 32 × 51
Step-3: Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1, 23, 31
Step-4: Factors of 720
List of positive integer factors of 720 that divides 713 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 713 and 720. The biggest common factor number is the GCF number.
So the greatest common factor 713 and 720 is 1.
Also check out the Least Common Multiple of 713 and 720
Related Greatest Common Factors of 713
- GCF of 713 and 717
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Related Greatest Common Factors of 720
- GCF of 720 and 724
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