What is the Greatest Common Factor of 678 and 693?
Greatest common factor (GCF) of 678 and 693 is 3.
GCF(678,693) = 3
We will now calculate the prime factors of 678 and 693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 678 and 693.
How to find the GCF of 678 and 693?
We will first find the prime factorization of 678 and 693. After we will calculate the factors of 678 and 693 and find the biggest common factor number .
Step-1: Prime Factorization of 678
Prime factors of 678 are 2, 3, 113. Prime factorization of 678 in exponential form is:
678 = 21 × 31 × 1131
Step-2: Prime Factorization of 693
Prime factors of 693 are 3, 7, 11. Prime factorization of 693 in exponential form is:
693 = 32 × 71 × 111
Step-3: Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339
Step-4: Factors of 693
List of positive integer factors of 693 that divides 678 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 678 and 693. The biggest common factor number is the GCF number.
So the greatest common factor 678 and 693 is 3.
Also check out the Least Common Multiple of 678 and 693
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