What is the Greatest Common Factor of 672 and 678?
Greatest common factor (GCF) of 672 and 678 is 6.
GCF(672,678) = 6
We will now calculate the prime factors of 672 and 678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 672 and 678.
How to find the GCF of 672 and 678?
We will first find the prime factorization of 672 and 678. After we will calculate the factors of 672 and 678 and find the biggest common factor number .
Step-1: Prime Factorization of 672
Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:
672 = 25 × 31 × 71
Step-2: 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-3: Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336
Step-4: Factors of 678
List of positive integer factors of 678 that divides 672 without a remainder.
1, 2, 3, 6, 113, 226, 339
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 672 and 678. The biggest common factor number is the GCF number.
So the greatest common factor 672 and 678 is 6.
Also check out the Least Common Multiple of 672 and 678
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