What is the Greatest Common Factor of 722 and 741?
Greatest common factor (GCF) of 722 and 741 is 19.
GCF(722,741) = 19
We will now calculate the prime factors of 722 and 741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 722 and 741.
How to find the GCF of 722 and 741?
We will first find the prime factorization of 722 and 741. After we will calculate the factors of 722 and 741 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 741
Prime factors of 741 are 3, 13, 19. Prime factorization of 741 in exponential form is:
741 = 31 × 131 × 191
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 741
List of positive integer factors of 741 that divides 722 without a remainder.
1, 3, 13, 19, 39, 57, 247
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 722 and 741. The biggest common factor number is the GCF number.
So the greatest common factor 722 and 741 is 19.
Also check out the Least Common Multiple of 722 and 741
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