What is the Greatest Common Factor of 682 and 701?
Greatest common factor (GCF) of 682 and 701 is 1.
GCF(682,701) = 1
We will now calculate the prime factors of 682 and 701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 682 and 701.
How to find the GCF of 682 and 701?
We will first find the prime factorization of 682 and 701. After we will calculate the factors of 682 and 701 and find the biggest common factor number .
Step-1: Prime Factorization of 682
Prime factors of 682 are 2, 11, 31. Prime factorization of 682 in exponential form is:
682 = 21 × 111 × 311
Step-2: Prime Factorization of 701
Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:
701 = 7011
Step-3: Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341
Step-4: Factors of 701
List of positive integer factors of 701 that divides 682 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 682 and 701. The biggest common factor number is the GCF number.
So the greatest common factor 682 and 701 is 1.
Also check out the Least Common Multiple of 682 and 701
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