What is the Greatest Common Factor of 722 and 731?
Greatest common factor (GCF) of 722 and 731 is 1.
GCF(722,731) = 1
We will now calculate the prime factors of 722 and 731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 722 and 731.
How to find the GCF of 722 and 731?
We will first find the prime factorization of 722 and 731. After we will calculate the factors of 722 and 731 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 731
Prime factors of 731 are 17, 43. Prime factorization of 731 in exponential form is:
731 = 171 × 431
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 731
List of positive integer factors of 731 that divides 722 without a remainder.
1, 17, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 722 and 731. The biggest common factor number is the GCF number.
So the greatest common factor 722 and 731 is 1.
Also check out the Least Common Multiple of 722 and 731
Related Greatest Common Factors of 722
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Related Greatest Common Factors of 731
- GCF of 731 and 735
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- GCF of 731 and 748
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