What is the Greatest Common Factor of 687 and 702?
Greatest common factor (GCF) of 687 and 702 is 3.
GCF(687,702) = 3
We will now calculate the prime factors of 687 and 702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 687 and 702.
How to find the GCF of 687 and 702?
We will first find the prime factorization of 687 and 702. After we will calculate the factors of 687 and 702 and find the biggest common factor number .
Step-1: Prime Factorization of 687
Prime factors of 687 are 3, 229. Prime factorization of 687 in exponential form is:
687 = 31 × 2291
Step-2: Prime Factorization of 702
Prime factors of 702 are 2, 3, 13. Prime factorization of 702 in exponential form is:
702 = 21 × 33 × 131
Step-3: Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1, 3, 229
Step-4: Factors of 702
List of positive integer factors of 702 that divides 687 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 687 and 702. The biggest common factor number is the GCF number.
So the greatest common factor 687 and 702 is 3.
Also check out the Least Common Multiple of 687 and 702
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