What is the Greatest Common Factor of 663 and 672?
Greatest common factor (GCF) of 663 and 672 is 3.
GCF(663,672) = 3
We will now calculate the prime factors of 663 and 672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 663 and 672.
How to find the GCF of 663 and 672?
We will first find the prime factorization of 663 and 672. After we will calculate the factors of 663 and 672 and find the biggest common factor number .
Step-1: Prime Factorization of 663
Prime factors of 663 are 3, 13, 17. Prime factorization of 663 in exponential form is:
663 = 31 × 131 × 171
Step-2: 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-3: Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221
Step-4: Factors of 672
List of positive integer factors of 672 that divides 663 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 663 and 672. The biggest common factor number is the GCF number.
So the greatest common factor 663 and 672 is 3.
Also check out the Least Common Multiple of 663 and 672
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