What is the Greatest Common Factor of 722 and 726?
Greatest common factor (GCF) of 722 and 726 is 2.
GCF(722,726) = 2
We will now calculate the prime factors of 722 and 726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 722 and 726.
How to find the GCF of 722 and 726?
We will first find the prime factorization of 722 and 726. After we will calculate the factors of 722 and 726 and find the biggest common factor number .
Step-1: Prime Factorization of 722
Prime factors of 722 are 2, 19. Prime factorization of 722 in exponential form is:
722 = 21 × 192
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 722
List of positive integer factors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361
Step-4: Factors of 726
List of positive integer factors of 726 that divides 722 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 722 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 722 and 726 is 2.
Also check out the Least Common Multiple of 722 and 726
Related Greatest Common Factors of 722
- GCF of 722 and 726
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Related Greatest Common Factors of 726
- GCF of 726 and 730
- GCF of 726 and 731
- GCF of 726 and 732
- GCF of 726 and 733
- GCF of 726 and 734
- GCF of 726 and 735
- GCF of 726 and 736
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- GCF of 726 and 740
- GCF of 726 and 741
- GCF of 726 and 742
- GCF of 726 and 743
- GCF of 726 and 744
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