# Find gcd(678, 588)=

Find gcd(678, 588)=
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Durst37
Step 1
The given numbers are 678 and 588.
Evaluate the prime factorization of 678 as follows.
$678=2×339$
$=2×3×113$
Evaluate the prime factorization of 588 as follows.
$588=2×294$
$=2×2×147$
$=2×2×3×49$
$=2×2×3×7×7$
Step 2
Check for the overlap of the two expressions as follows.
$678=2×3×113$
$588=2×2×3×7×7$
Observe that the overlap of the two expressions is $2×3=6$.
Therefore, the gcd(678, 588) is 6.