What is the Greatest Common Factor of 720 and 727?
Greatest common factor (GCF) of 720 and 727 is 1.
GCF(720,727) = 1
We will now calculate the prime factors of 720 and 727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 720 and 727.
How to find the GCF of 720 and 727?
We will first find the prime factorization of 720 and 727. After we will calculate the factors of 720 and 727 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 727
Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:
727 = 7271
Step-3: Factors of 720
List of positive integer factors of 720 that divides 720 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
Step-4: Factors of 727
List of positive integer factors of 727 that divides 720 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 720 and 727. The biggest common factor number is the GCF number.
So the greatest common factor 720 and 727 is 1.
Also check out the Least Common Multiple of 720 and 727
Related Greatest Common Factors of 720
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Related Greatest Common Factors of 727
- GCF of 727 and 731
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