What is the Greatest Common Factor of 700 and 717?
Greatest common factor (GCF) of 700 and 717 is 1.
GCF(700,717) = 1
We will now calculate the prime factors of 700 and 717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 700 and 717.
How to find the GCF of 700 and 717?
We will first find the prime factorization of 700 and 717. After we will calculate the factors of 700 and 717 and find the biggest common factor number .
Step-1: Prime Factorization of 700
Prime factors of 700 are 2, 5, 7. Prime factorization of 700 in exponential form is:
700 = 22 × 52 × 71
Step-2: Prime Factorization of 717
Prime factors of 717 are 3, 239. Prime factorization of 717 in exponential form is:
717 = 31 × 2391
Step-3: Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350
Step-4: Factors of 717
List of positive integer factors of 717 that divides 700 without a remainder.
1, 3, 239
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 700 and 717. The biggest common factor number is the GCF number.
So the greatest common factor 700 and 717 is 1.
Also check out the Least Common Multiple of 700 and 717
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