What is the Greatest Common Factor of 688 and 704?
Greatest common factor (GCF) of 688 and 704 is 16.
GCF(688,704) = 16
We will now calculate the prime factors of 688 and 704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 688 and 704.
How to find the GCF of 688 and 704?
We will first find the prime factorization of 688 and 704. After we will calculate the factors of 688 and 704 and find the biggest common factor number .
Step-1: Prime Factorization of 688
Prime factors of 688 are 2, 43. Prime factorization of 688 in exponential form is:
688 = 24 × 431
Step-2: Prime Factorization of 704
Prime factors of 704 are 2, 11. Prime factorization of 704 in exponential form is:
704 = 26 × 111
Step-3: Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344
Step-4: Factors of 704
List of positive integer factors of 704 that divides 688 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 688 and 704. The biggest common factor number is the GCF number.
So the greatest common factor 688 and 704 is 16.
Also check out the Least Common Multiple of 688 and 704
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