What is the Greatest Common Factor of 726 and 732?
Greatest common factor (GCF) of 726 and 732 is 6.
GCF(726,732) = 6
We will now calculate the prime factors of 726 and 732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 726 and 732.
How to find the GCF of 726 and 732?
We will first find the prime factorization of 726 and 732. After we will calculate the factors of 726 and 732 and find the biggest common factor number .
Step-1: Prime Factorization of 726
Prime factors of 726 are 2, 3, 11. Prime factorization of 726 in exponential form is:
726 = 21 × 31 × 112
Step-2: Prime Factorization of 732
Prime factors of 732 are 2, 3, 61. Prime factorization of 732 in exponential form is:
732 = 22 × 31 × 611
Step-3: Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363
Step-4: Factors of 732
List of positive integer factors of 732 that divides 726 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 726 and 732. The biggest common factor number is the GCF number.
So the greatest common factor 726 and 732 is 6.
Also check out the Least Common Multiple of 726 and 732
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Related Greatest Common Factors of 732
- GCF of 732 and 736
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