What is the Greatest Common Factor of 722 and 728?
Greatest common factor (GCF) of 722 and 728 is 2.
GCF(722,728) = 2
We will now calculate the prime factors of 722 and 728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 722 and 728.
How to find the GCF of 722 and 728?
We will first find the prime factorization of 722 and 728. After we will calculate the factors of 722 and 728 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 728
Prime factors of 728 are 2, 7, 13. Prime factorization of 728 in exponential form is:
728 = 23 × 71 × 131
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 728
List of positive integer factors of 728 that divides 722 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 722 and 728. The biggest common factor number is the GCF number.
So the greatest common factor 722 and 728 is 2.
Also check out the Least Common Multiple of 722 and 728
Related Greatest Common Factors of 722
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Related Greatest Common Factors of 728
- GCF of 728 and 732
- GCF of 728 and 733
- GCF of 728 and 734
- GCF of 728 and 735
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- GCF of 728 and 737
- GCF of 728 and 738
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- GCF of 728 and 743
- GCF of 728 and 744
- GCF of 728 and 745
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