What is the Greatest Common Factor of 714 and 726?
Greatest common factor (GCF) of 714 and 726 is 6.
GCF(714,726) = 6
We will now calculate the prime factors of 714 and 726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 714 and 726.
How to find the GCF of 714 and 726?
We will first find the prime factorization of 714 and 726. After we will calculate the factors of 714 and 726 and find the biggest common factor number .
Step-1: Prime Factorization of 714
Prime factors of 714 are 2, 3, 7, 17. Prime factorization of 714 in exponential form is:
714 = 21 × 31 × 71 × 171
Step-2: 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-3: Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357
Step-4: Factors of 726
List of positive integer factors of 726 that divides 714 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 714 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 714 and 726 is 6.
Also check out the Least Common Multiple of 714 and 726
Related Greatest Common Factors of 714
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Related Greatest Common Factors of 726
- GCF of 726 and 730
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