What is the Greatest Common Factor of 701 and 721?
Greatest common factor (GCF) of 701 and 721 is 1.
GCF(701,721) = 1
We will now calculate the prime factors of 701 and 721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 701 and 721.
How to find the GCF of 701 and 721?
We will first find the prime factorization of 701 and 721. After we will calculate the factors of 701 and 721 and find the biggest common factor number .
Step-1: Prime Factorization of 701
Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:
701 = 7011
Step-2: Prime Factorization of 721
Prime factors of 721 are 7, 103. Prime factorization of 721 in exponential form is:
721 = 71 × 1031
Step-3: Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1
Step-4: Factors of 721
List of positive integer factors of 721 that divides 701 without a remainder.
1, 7, 103
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 701 and 721. The biggest common factor number is the GCF number.
So the greatest common factor 701 and 721 is 1.
Also check out the Least Common Multiple of 701 and 721
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Related Greatest Common Factors of 721
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