What is the Greatest Common Factor of 697 and 712?
Greatest common factor (GCF) of 697 and 712 is 1.
GCF(697,712) = 1
We will now calculate the prime factors of 697 and 712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 697 and 712.
How to find the GCF of 697 and 712?
We will first find the prime factorization of 697 and 712. After we will calculate the factors of 697 and 712 and find the biggest common factor number .
Step-1: Prime Factorization of 697
Prime factors of 697 are 17, 41. Prime factorization of 697 in exponential form is:
697 = 171 × 411
Step-2: Prime Factorization of 712
Prime factors of 712 are 2, 89. Prime factorization of 712 in exponential form is:
712 = 23 × 891
Step-3: Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1, 17, 41
Step-4: Factors of 712
List of positive integer factors of 712 that divides 697 without a remainder.
1, 2, 4, 8, 89, 178, 356
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 697 and 712. The biggest common factor number is the GCF number.
So the greatest common factor 697 and 712 is 1.
Also check out the Least Common Multiple of 697 and 712
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